Website of Dr. Suliman Al-Homidan, Department of Mathematics and Statistics, KFUPM, Research Interest: Matrix ApproximationNumerical Linear Algebra Semi-Definite Programming Linear, Quadratic and Nonlinear Programming| Publications | Conferences | Teaching |Office Hours | Thesis | ; |Research

Welcome to the website of

Professor. Suliman S. Al-Homidan

 Department of Math & Stat, KFUPM, POBox 119, Dhahran 31261, KSA.




Off Loc: 5-427;

Tel: 966-3-8604490; Fax: 966-3-8602652; 

Email: homidan at


BI  ban

            To my dear Students MATH 371 in semester 231              MATH 105 Key for EXAM 1 term 332


Ph.D. Optimization (1993)   Dundee University, Scotland, UK.  Advisor: Professor Roger Fletcher                                           

MS  Numerical Analysis (1989)   Dundee University, Scotland, UK.Advisor: Professor David Griffiths

                                             B.Sc.  Mathematics (1986) King Saud University, Riyadh, Saudi Arabia.

Employment History

2009- Present: Professor, 2010- Present: Dean College of Sciences, 2005- 2010: Chairman of the Department of Mathematics and Statistics,

2003- 2009: Associate Professor,  2003- 2004: Visiting Assistant Professor, Waterloo University, Waterloo, Canada

Some  Courses taught

Calculus , Linear Algebra, Introduction to Differential Equations and Linear Algebra, Engineering Mathematics, Introduction to Numerical Computing, Numerical Analysis, Linear and Nonlinear Programming, Reading and Research “Optimization”.

Editorial Boards of the following ISI Journals

Journal of Optimization Theory and Applications

Journal of Inequalities and Applications

Special Issue "Equilibrium Problems and Fixed Point Theory" in Fixed Point Theory and Applications

Special Issue "Positivity in Variational Analysis and Optumization " in Positivity

 Curriculum Vitae

Some Recent Publications  


R. Jaichander, I. Ahmad K. Kummari and S. Al-Homidan; Robust Nonsmooth Interval-Valued Optimization Problems Involving Uncertainty Constraints, Mathematics; Published: 24 May 2022
I. Ahmada, K. Kummari and S. Al-Homidan; Unified duality for mathematical programming problems with vanishing constraints; Int. J. Nonlinear Anal. Appl. 13 (2022) 2, 3191–3201; Published online: July 2022
Suliman Al-Homidan; Second-order cone and semidefinite methods for the bisymmetric matrix approximation problem; Arabian Journal of Mathematics; Published Online; August 2022
I Ahmad, K Kummari and S Al-Homidan; Sufficiency and Duality for Nonsmooth Interval-Valued Optimization Problems via Generalized Invex-Infine Functions; Journal of the Operations Research Society of China; Published: 06 January 2022
S Al-Homidan, Q Ansari, G Kassay; Bregman type regularization of variational inequalities with Mosco approximation of the constraint set; Positivity, 26(1), 3; Published Online: 8 February 2022



Suliman Al-HomidanSemi–Definite Programming for the Nearest Circulant Semi–Definite Matrix Problem, Carpathian Journal of Mathematics37(1) 13 – 22, 2021.
Suliman Al-Homidan, Computing the Nearest Circulant Positive Semi--Definite Matrix  to a Noisy  matrixJournal of Nonlinear and Convex Analysis, 22(2) 309-319, 2021.
Suliman Al-Homidan, Low-Rank Approximation of Circulant Matrix to a Noisy Matrix, Arabian Journal for Science and Engineering, 46, 3287–3292, 2021.
Chadli O., Ansari Q., Al-Homidan S., and M. Alshahrani, Optimal Control of Systems Governed by Mixed Equilibrium Problems under Monotonicity-Type Conditions with Applications, Applied Mathematics and Optimization, 83(1), 373–403, 2021.
Chadli O., Ansari Q., Al-Homidan S., and M. Alshahrani, Optimal Control of Problems Governed by Mixed Quasi-Equilibrium Problems Under Monotonicity-Type Conditions with Applications, Applied Mathematics and Optimization, 83(3), 2185–2209, 2021.
Al-Homidan S., and  L. Shaalan, Approximation of quasiconvex functions by neatly quasiconvex functions.  Optimization letters, 15, 979–989, 2021.
Al-Homidan S., Ali  B. and Suleiman I., Generalized split feasibility problem for multi-valued Bregman quasi-nonexpansive mappings in Banach spaces, Applied Numerical Mathematics, 161, 437–451, 2021.
Mahajan S., SK GuptaAhmad I. and Al-Homidan S., Using concave optimization methods for inexact quadratic programming problems with an application to waste management, Journal of Inequalities and Applications, 2021:60, 2021.
M Wang, XB Li, J Chen, S Al-Homidan; On Radius of Robust Feasibility for Convex Conic Programs with Data Uncertainty; Numerical Functional Analysis and Optimization, 1-29; November 2021
X Ou, S Al-Homidan, QH Ansari, J Chen; Image space analysis for uncertain multiobjective optimization problems: Robust optimality conditions; Journal of Industrial & Management Optimization; Published Online: November 2021
Singh, V; Ahmad, I; Gupta, SK; Al-Homidan, S; Duality for Multiobjective Variational Problems under Second-Order (Phi, rho)-Invexity; FILOMAT; September 2021
Chadli O., Ansari Q., and Al-Homidan S.; Augmented Lagrangian methods for Optimal Control Problems Governed by Mixed Equilibrium Problems with Application to Hemivariational Inequalities and their Control; Optimal Control, Applications and Methods; March 2021
Chen J., Al-Homidan S., Ansari Q., Li J. and Lv Y.; Robust Necessary Optimality Conditions for Nondifferentiable Complex Fractional Programming with Uncertain Data; Journal of Optimization Theory and Applications; March 2021
X. Lia, S. Al-Homidan, Q. Ansari and J. Yao; A sufficient condition for asymptotically well behaved property of convex polynomials; Operations Research Letters; August 2021
S. Al-Homidan, Q. Ansari and M. Islam; Existence results and two step proximal point algorithm for equilibrium problems on Hadamard manifolds; Carpathian Journal of Mathematics; June 2021


Singh V., A. Jayswal,  Al-Homidan S., and  Ahmad I., Higher order duality for cone vector optimization problems, Asian European Journal of Mathematics, 13(1) 205-020, 2020.
S. Al-Homidan, Q. Ansari and G. Kassay, Vectorial form of Ekeland variational principle with applications to vector equilibrium problems, Optimization, 69(3) 415-436, 2020.
Al-Homidan S., B. Ali and Y. Suleiman, An iterative method for solving multiple-set split feasibility problems in Banach spaces. Carpathian Journal of Mathematics36(1) 67-79, 2020.  
Ahmad I., Verma K. and Al-Homidan S., Mixed Type Nondifferentiable Higher-Order Symmetric Duality over Cones, Symmetry 12,74, 2020.  
Li X., Al-Homidan S., Ansari Q.  and Yao J., Robust Farkas Minkowski Constraint Qualification for Convex Inequality System under Data Uncertainty, Journal of Optimization Theory and Applications, 185, 785–802, 2020.
Al-Homidan S., Ansar Q., Babu F. and Yao J. Viscosity Method With A _-Contraction Mapping For Hierarchical Variational Inequalities On Hadamard Manifolds, Fixed Point Theory, 21(2) 561-584, 2020.
Ahmad I., Kummari K. and Al-Homidan S., sufficiency and duality for interval-valued optimization problems with vanishing constraints using weak constraint qualifications, International Journal of Analysis and Applications, 18(5) 784-798, 2020.
Chadli O., Mohapatra R.  and Al-Homidan S., Optimal Control Of A Class Of Mixed Hemivariational Inequalities Involving Set-Valued Maps Journal of Nonlinear and Convex Analysis,  21(10) 2351-2366, 2020.
Al-Homidan S., Singh V. and Ahmad I. On Higher-order Duality in Nondifferentiable Minimax Fractional Programming. Applications & Applied Mathematics 15 (2) 1348 – 1368, 2020,


Suliman Al-Homidan, Structured low rank approximation of non-negative matrices. Journal of Nonlinear and Convex Analysis,   20(11) 2259-2268, 2019.
Ahmad I., A Jayswal, Al-Homidan S., and J Banerjee, Sufficiency and Duality in Interval-Valued Variational Programming. Neural Computing and Applications, 31, 4423–4433, 2019
Al-Homidan S., Q.  Ansari and F. Babu. Halpern and mann type algorithms for fixed points and inclusion problems on hadamard manifolds, Numerical Functional Analysis and Optimization, 40(6) 621-653, 2019.    
Al-Homidan S., Q. Ansari and G. Kassay, Takahashi’s minimization theorem and some related results in quasi-metric spaces, Journal of Fixed Point Theory and Applications, 21(38), 2019.
Al-Homidan S., Q. Ansari and G. Kassay, On sensitivity of vector equilibria by means of the diagonal subdifferential operator,  Journal of Nonlinear and Convex Analysis, 20(3)527-537, 2019.
S. Gupta, D. Dangar, I. Ahmad and Al-Homidan S., A fuzzy multiple objective nonlinear optimization problem and its duality results. Journal of Intelligent and Fuzzy Systems36, 1361–1373, 2019.  
Al-Homidan S., Q. Ansari and O. Chadli, Noncoercive mixed equilibrium problems under pseudomonotone perturbations and applications to nonlinear evolution equations with lack of coercivity, Applicable Analysis, 98(7) 1199–1223, 2019.
Al-Homidan S., Q. Ansari,  and O. Chadli, Noncoercive stationary navier-stokes equations of heat-conducting fluids modeled by Hemivariational inequalities: An equilibrium problem approach, Results in Mathematics, 74(132)  2019. 
Al-Homidan S., Q. Ansari,  and M. Islam, Browder type fixed point theorem on Hadamard manifolds with applications, Journal of Nonlinear and Convex Analysis, 20(11) 2397-2409, 2019.


Al-Homidan S., Hadjisavvas N. and  L. Shaalan, Transformation of Quasiconvex Functions to Eliminate Local Minima. Journal of Optimization Theory and Applications, 177, 93–105, 2018.
Bnouhachem, Ansari Q. and Al-Homidan S., SQP alternating direction method for structured variational inequalities, Journal of Nonlinear and Convex Analysis. 19(3):461-476. 2018.
Al-Homidan S., Low Rank Methods for Solving the Nearest Correlation Matrix Problem, Journal of Nonlinear and Convex Analysis 19(6):881-892, 2018.
Capata A., G Kassay and  Al-Homidan S., Existence Results For Strong Vector Equilibrium Problems With Applications, Journal of Nonlinear and Convex Analysis. 19(7), 1163-1179, 2018.
Al-Homidan S., Ali B. and Suleiman Y.,   Generalized Split Equilibrium Problems For Countable Family Of Relatively Quasi-Nonexpansive Mappings, Journal of Nonlinear and Convex Analysis. 19(7) 1109-1126, 2018.
S. K. Gupta, D. Dangar, Izhar Ahmad and Al-Homidan S., Duality in nonlinear programming problems under fuzzy environment with exponential membership functions, Journal of Inequalities and Applications 2018:218, 2018.
Ahmad R., Ahmad I., Ali I., Al-Homidan S., and Wang Y., h(:; :)-ordered-compression mapping for solving xor-variational inclusion problem, Journal of Nonlinear and Convex Analysis 19(12) 2189-2201, 2018.


Suliman Al-HomidanGlobal convergence of the alternating projection Method for the max-cut relaxation problem, Filomat, 31(3), 737–746, 2017.
Chadli O, Ansari Q. and Al-Homidan S., Existence of Solutions and Algorithms for Bilevel Vector Equilibrium Problems: An Auxiliary Principle Technique. Journal of Optimization Theory and Applications, 172(3) 726-758, 2017.
Al-Homidan S, Ansari Q and L Van Nguyen. Weak Sharp Solutions for Nonsmooth Variational Inequalities. Journal of Optimization Theory and Applications, 175(3) 683–701, 2017.
Al-Homidan S.,   Ansari, L Van NguyenFinite convergence analysis and weak sharp solutions for variational inequalities Optimization Letters, 11(8) 1647–1662, 2017.  
Al-Homidan S., Ansari Q. and Burachik, Weak sharp solutions for generalized variational Inequalities, Positivity, 21(3) 1067–1088, 2017.
Alshahrani, Al-Homidan S. and Ansari, Minimum and maximum principle sufficiency properties for Nonsmooth variational inequalities. Optimization Letters, 10 (4), 805-819, 2017.



O Chadli, QH Ansari, Al-Homidan Existence of Solutions for Nonlinear Implicit  Differential Equations: An Equilibrium Problem Approach. Numerical Functional Analysis and Optimization  Vol. 37(11) (2016) pp.  1385-1419.

 S. Al-Homidan and Ahmad,  Second order convexity and multiobjective Programming with a modified objective function

Al-Homidan S. and Ansari, Equilibrium constrained vector optimization problems. Journal of Nonlinear and Convex Analysis 17 (5), 891-898

AA Awotunde, R Ghanam,  S Al-Homidan and N Tatar, Numerical Schemes for Anomalous Diffusion of Single-Phase Fluids In Porous Media. Communications in Nonlinear Science and Numerical Simulation 39, 381-395.

I Ahmad, D Singh, BA Dar, S Al-Homidan, On interval valued functions and Mangasarian type duality involving Hukuhara derivative. Journal of Computational Analysis & Applications 21 (5), 881-896.

Alshahrani, Al-Homidan,  and Ansari, Minimum and maximum principle sufficiency properties for Nonsmooth variational inequalities. Optimization Letters, 10 (4), 805-819.


Bnouhachem, Al-Homidan and Ansari. New descent lqp alternating direction methods For solving a class of structured variational Inequalities. Fixed Point Theory and Applications  (2015) 2015:137

I Ahmad, S Al-Homidan, Sufficiency and duality in nondifferentiable multiobjective programming involving higher order strong invexity. Journal of Inequalities and Applications 2015 (1), 1-12

S Al-Homidan, M Alshahrani, QH Ansari, System of nonsmooth variational inequalities with applications Optimization,64(5) pp. 1211–1218, Oct. 2015.

    Al-Homidan S. and Ansari, QNonsmooth weighted variational inequalities and nonsmooth vector optimization.Journal of Nonlinear and Convex Analysis 16 (4), 667-684

Alshahrani, Abbas, Ansari and Al-Homidan Iterative schemes for generalized nonlinear Complementarity problems on isotone Projection cones. Journal of Nonlinear and Convex Analysis.16 (8), 1681-1697.

S Al-Homidan, M Alshahrani, QH Ansari,Weak Sharp Solutions for Equilibrium Problems in Metric Spaces. Journal of Nonlinear and Convex Analysis.16 (7), 1185-1193.


Suliman Al-Homidan, Structure method for solving the nearest Euclidean distance matrix problem, Journal of Inequalities and Applications2014 (1), 491, 2014.

 Lu-Chuan Ceng and Suliman Al-Homidan, Algorithms of common solutions for generalized mixed equilibria, variational inclusion and constrained convex minimization, Abstract and Applied Analysis 2014, 10, 2014.

Anurag Jayswal, Izhar Ahmad, Krishna Kummari and Suliman Al-Homidan,  On minimax programming problems involving right upper-Dini-derivative functions,  Journal of Inequalities and Applications 2014, 2014:326

Abdellah Bnouhachem, , Suliman Al-Homidan and Qamrul Hasan Ansari, An iterative method for common solutions of equilibrium problems and hierarchical fixed point problems. Fixed Point Theory and Applications 2014, 2014:194

Nadeem A. Malik, R. A. Ghanam and S. Suliman Al-Homidan. Sensitivity of the pressure distribution to the fractional order $\alpha$ in the fractional diffusion equation.  Canadian Journal of Physics. 93 (1), 18-36            1,2014.

 I. Ahmad, Z Husain and Suliman Al-Homidan. Mixed type symmetric duality for multiobjective variational problems with cone constraints. International Transactions in Operational Research 21 (2), 291-310, 2014

M Alshahrani, QH Ansari, S Al-Homidan, Nonsmooth variational-like inequalities and nonsmooth vector optimization Optimization Letters, 8 (2), 739-751, 2014


S Al-Homidan, RA Ghanam, N Tatar, On a generalized diffusion equation arising in petroleum engineering, Advances in Difference Equations 2013 (1), 349.   

LC Ceng, S Al-Homidan, QH Ansari  Iterative algorithms with regularization for hierarchical variational inequality problems and convex minimization problems Fixed Point Theory and Applications 2013 (1), 284    .

M Alshahrani, QH Ansari, S Al-Homidan Existence Results for Nonsmooth Vector Quasi-Variational-Like Inequalities, Abstract and Applied Analysis pp. 1–7, 2013.             


Suliman Al-Homidan. Hankel matrix transforms and operators. Journal of Inequalities and Applications 2012, 2012:92.

 Qamrul Ansari, S Al-Homidan,   Jen-Chih YaoEquilibrium problems and fixed point theory, Guest editor, Fixed Point Theory and Applications 2012, 2012:25 (24 February 2012)   

S Al-Homidan, Qamrul Ansari, BS Mordukhovich, Positivity in Variational Analysis and Optumization, Guest editor, Positivity 2011-2013.  

Al-Homidan S. and Algarni M., Structured Methods for Solving Correlation ProblemPositivity  Vol 16 pp 497-508, 2012.

Al-Homidan S. and Ansari Q Relations Between Generalized Vector Variational-Like Inequalities And Vector Optimization Problems, Taiwanese Journal of Mathematics Vol. 16, No. 3, pp. 987-998, June 2012.

Agarwal R. Ahmad I. and Al-Homidan S. Optimality and duality for for nondifferentiable multiobjective programming problems involving generalized d- ρ (,θ)–d–I-univex functions. Journal of Nonlinear and Convex Analysis. vol. 13, no. 4, pp. 733-744, 2012.  

S Al-Homidan, Qamrul Ansari,  Jen-Chih Yao, Nonsmooth invexities, invariant monotonicities and nonsmooth vector variational-like inequalities with applications to vector optimization, Recent Developments in Vector Optimization 221-274, edited by Editors:Qamrul Ansari, Jen-Chih Yao.



Al-Homidan S., Ansari Q. and Yao J., Collectively Fixed Point and Maximal Element Theorems in Topological Semilattice Spaces. Applicable Analysis: An International Journal. Vol. 90, No. 6, 2011, 865–888.

I. Ahmad, Z. Husain, Al-Homidan S. Second order duality in nondifferentiable fractional programming. Nonlinear Analysis: Real World Applications Volume 12, Issue 2, April 2011, Pages 1103-1110

Jayswal A., Ahmad I.  and Al-Homidan S., Sufficiency and duality for nonsmooth multiobjective programming problems involving generalized (F,α,ρ,θ)–d–V-univex functions. Mathematical and Computer Modelling. Volume 53, Issues 1-2, January 2011, Pages 81-90

Al-Homidan S. and Ansari Q Fixed Point Theorems on Product Topological Semilattice Space, Generalized bstract Econmies and System of Generalized Vector-Equlilbrium Problems, Taiwanese Journal of Mathematics Vol. 15, No. 1, pp. 307-330, February 2011.      

Ahmad I., Al-Homidan S. and S Sharma S., Duality for nondifferentiable multiobjective variational problems with generalized Type I functions. Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis. Vol 18, 443-455 2011.


Lu-Chuan Zeng, Q.H. Ansari and Al-Homidan Hybrid Proximal-Type Algorithms for Generalized Equilibrium Problems, Maximal Monotone Operators and Relatively Nonexpansive Mappings. Fixed Point Theory and Applications. vol. 2011, Article ID 973028, 23 pages, 2010.

Al-Homidan S., Alshahrani M., Petra C. and Potra F. Minimal Condition Number for Positive Definite Hankel Matrices using Semidefinite Programming. Linear Algebra and its Applications,  Vol. 433 (2010) pp. 1101-1109. 

Al-Homidan S. and Ansari Q., Generalized Minty Vector Variational-like Inequalities and Vector Optimization Problems, Journal of Optimization Theory and Applications Vol. 144(3) (2010) pp. 1-11.        

Al-Homidan S. and Ansari Q.,   Quasi-Equilibrium Problems with Lower and Upper Bounds in Ordered  Topological Spaces.   Journal of Nonlinear and Convex Analysis   V. 11, Number 2, 2010, pp345-355.

Lin L., Chuang C. and S  Al-Homidan, Ekeland type variational principle with applications to quasi-variational inclusions. Nonlinear Analysis. Volume 72, Issue 2, 15 January 2010, Pages 651-661.


Ceng L., Al-Homidan S., Ansari Q. and Yao J., An Iterative Scheme For Equilibrium Problems And Fixed Point Problems Of Strict Pseudo-Contraction Mappings, Journal of Computational and Applied Mathematics, Vol. 223 (2009) pp. 967-974.

Al-Homidan S.  and. Alshahrani M., Positive Definite Hankel Matrices using  Cholesky Factorization. Computational methods in applied mathematics. Vol. 9 (2009). No. 3 pp.221-225.


Al-Homidan S., Ansari Q. and Yao J.,  Some Generalizations Of Ekeland-Type Variational Principle With Applications To Equilibrium Problems And Fixed Point Theory, Nonlinear Analysis, Vol. 69(1) (2008) pp. 126-139.

Al-Homidan S., Semidefinite Programming for the  Educational Testing Problem, Central European Journal for Operations Research, Vol. 16 (2008) pp. 239-249.


Al-Homidan S.,  "Solving Hankel Matrix Approximation Problem using Semidefinite Programming, Journal of Computational and Applied Mathematics, Vol. 202(2) (2007) pp. 304-314.

Al-Homidan S.  and Ansari Q., Systems of Equilibrium Problems with Lower and Upper Bounds, Applied Mathematics Letters,  Vol. 20(3) (2007) pp. 323-328.

Al-Homidan S.,  Approximate Toeplitz Problem Using Semidefinite Programming, Journal of Optimization Theory and Applications, Vol. 135(3) (2007) pp. 583-598.

Al-Homidan S., Ansari Q. and Schaible S., Existence of Solutions of Systems of Generalized Implicit Vector Variational Inequalities, Journal of Optimization Theory and Applications, Vol. 134(3) (2007) pp. 515-531.


Alshahrani M.  and   S. Al-Homidan,   Mixed Semidefinite And Second-Order Cone Optimization Approach For The Hankel Matrix Approximation Problem, Nonlinear Dynamics and Systems Theory. Vol. 6(3) (2006) pp. 211-224.

Al-Homidan S. and Fletcher R., Rationalizing Foot and Ankle Measurements to Conform to a Rigid Body Model, Computer Methods in Biomechanics and Biomedical, Vol. 9 (2) (2006) pp. 103-111.

Al-Homidan S.,  Semidefinite and Second Order Cone Optimization Approach for the Toeplitz Matrix Approximation Problem, Journal of Numerical Mathematics, Vol.14(1) (2006) pp.1-15.


Al-Homidan S and Wolkowicz H., Approximate and Exact Completion Problems for Euclidean Distance Matrices using Semidefinite ProgrammingLinear Algebra and its Applications,  Vol. 406 (2005) pp. 109-141.

Al-Homidan S., Structured Methods for Solving Hankel Matrix Approximation Problems, Pacific journal of Optimization, Vol. 1 (2005) pp.  599-609.  ++ 

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