List of Publications of Dr. Izhar Ahmad
JP1 T.R. Gulati and Izhar Ahmad, Efficiency and duality in multiobjective fractional programming, Opsearch, 32(1995), 3143. JP2 T.R. Gulati and Izhar Ahmad, Second order symmetric duality for nonlinear minimax integer programs, European Journal of Operational Research, 101(1997), 122129. ISI JP3 T.R. Gulati, I. Husain and Izhar Ahmad, Symmetric duality for nondifferentiable minimax mixed integer programming problems, Optimization, 39(1997), 6984. ISI JP4 T.R. Gulati and Izhar Ahmad, Multiobjective duality using Fritz John conditions , Asia  Pacific Journal of Operational Research, 15(1998), 6374.ISI JP5 T.R. Gulati, I. Husain and Izhar Ahmad, Symmetric duality for minimax variational problems, Mathematical Methods of Operations Research, 48(1998), 8196. ISI JP6 T.R. Gulati, Izhar Ahmad and I. Husain, Second order symmetric duality with generalized convexity, Opsearch, 38(2001), 210222. JP7 Izhar Ahmad, Optimality conditions and duality in fractional minimax programming involving generalized ρconvexity, International Journal of Management and systems, 19(2003) ,165180. JP8 Izhar Ahmad, Suffcient optimality conditions for nondifferentiable programming, Aligarh Bulletin of Mathematics, 22 (2003), 113117. JP9 I. Ahmad and Z. Husain, On nondifferentiable second order symmetric duality in mathematical programming, Indian Journal of Pure and Applied Mathematics 35(2004), 665676. ISI JP10 I. Ahmad, Optimality conditions and mixed duality in nondifferentiable programming, Journal of Nonlinear and Convex Analysis, 5(2004),113119. ISI JP11 I. Ahmad, Sufficiency and duality in multiobjective programming with generalized ()convexity, Journal of Applied Analysis, 11(2005), 1932. JP12 I. Ahmad and Z. Husain, On nondifferentiable second order symmetric duality, AsiaPacific Journal of Operational Research, 22(2005), 1931. ISI JP13 Izhar Ahmad, Second order symmetric duality in nondifferentiable multiobjective programming, Information Sciences, 173 (2005),2334. ISI JP14 Izhar Ahmad, Multiobjective mixed symmetric duality with invexity, New Zealand Journal of Mathematics, 34(2005), 19. JP15 I. Ahmad and Z. Husain, Nondifferentiable second order symmetric duality in multiobjective programming, Applied Mathematics Letters, 18(2005), 721728. ISI JP16 Izhar Ahmad and T. R. Gulati, Mixed type duality for multiobjective variational problems with generalized (F, ρ)convexity, Journal of Mathematical Analysis and Applications, 306(2005), 669683. ISI JP17 I. Ahmad, Second order symmetric duality for nondifferentiable minimax mixed integer programs, Southeast Asian Bulletin of Mathematics, 29(2005), 843849. JP18 I. Ahmad and Z. Husain, On symmetric duality in nondifferentiable mathematical programming with Fconvexity, Journal of Applied Mathematics and Computing, 19(2005), 371384. JP19 I. Ahmad, T. R. Gulati and A. Ahmed, Duality in nondifferentiable fractional minimax programming, Journal of Indian Society of Statistics and Operations Research, 26(2005), 1325. JP20 Izhar Ahmad, Symmetric duality for multiobjective fractional variational problems with generalized invexity, Information Sciences, 176(2006), 21922207.ISI JP21 I. Ahmad and Z. Husain, Duality in nondifferentiable minimax fractional programming with generalized convexity, Applied Mathematics and Computation, 178(2006), 545551. ISI JP22 I. Ahmad and Z. Husain, Second order (F, α, ρ, d)convexity and duality in multiobjective programming, Information Sciences, 176(2006), 30943103.ISI JP23 I. Ahmad and Z. Husain, Optimality conditions and duality in nondifferentiable minimax fractional programming with generalized convexity, Journal of Optimization Theory and Applications, 129(2006), 255275. ISI JP24 Izhar Ahmad and T. R. Gulati, Mixed symmetric duality for nondifferentiable programming problems, Opsearch, 43(2006), 296308. JP25 I. Ahmad and Z. Husain, Minimax mixed integer symmetric duality for multiobjective variational problems, European Journal of Operational Research, 177(2007), 7182. ISI JP26 I. Ahmad, M. Yaqoob and A. Ahmed, Symmetric duality for fractional variational problems with cone constraints, Journal of Applied Mathematics and Computing, 23(2007), 281292. JP27 T.R. Gulati, I. Ahmad and D. Agarwal, Sufficiency and duality in multiobjective programming under generalized typeI functions , Journal of Optimization Theory and Applications, 135(2007), 411427. ISI JP28 Izhar Ahmad and Sarita Sharma, Sufficiency in multiobjective subset programming involving generalized typeI functions, Journal of Global Optimization, 39(2007), 473481. ISI JP29 I. Ahmad and Sarita Sharma, Optimality conditions and duality in nonsmooth multiobjective optimization, Journal of Nonlinear and Convex Analysis, 8(2007), 417430. ISI JP30 I. Ahmad and Sarita Sharma, Second order duality for nondifferential multiobjective programming problems, Numerical Functional Analysis and Optimization, 28 (2007), 975988. ISI JP31 I. Ahmad, Z. Husain and Sarita Sharma, Higher order duality in nondifferentiable multiobjective programming, Numerical Functional Analysis and Optimization, 28 (2007), 9891002. ISI JP32 I. Ahmad and Sarita Sharma, Multiobjective fractional symmetric duality involving cones, Journal of Applied Mathematics and Informatics, 26(2008),151160. JP33 I. Ahmad and Sarita Sharma, Symmetric duality for multiobjective fractional variational problems involving cones, European Journal of Operational Research 188(2008), 695704. ISI JP34 I. Ahmad Z. Husain and Sarita Sharma, Second order duality in nondifferentiable minmax programming involving typeI functions, Journal of Computational and Applied Mathematics, 215(2008), 91102.ISI JP35 T.R. Gulati, S.K. Gupta and I. Ahmad, Secondorder symmetric duality with cone constraints, Journal of Computational and Applied Mathematics, 220(2008),347354. ISI JP36 Z. Husain and I. Ahmad, Note on MondWeir type nondifferentiable second order symmetric duality, Optimization Letters, 2(2008) , 599604. ISI JP37 I. Ahmad and Z. Husain, Second order duality in multiobjective programming, Journal of Applied Analysis, 14(2008), 131148. JP38 I.Ahmad and Sarita Sharma, Sufficiency and duality in minmax fractional subset programming involving generalized typeI functions ,Journal of Applied Mathematics and Informatics, 26(2009), 9911010. JP39 I. Ahmad, Z. Husain and Sarita Sharma, Higher order duality in nondifferentiable minimax programming with generalized TypeI functions, Journal of Optimization Theory and Applications , 141(2009), 112. ISI JP40 Z. Husain, Anurag Jayswal and I. Ahmad, Second order duality for nondifferentiable minimax programming problems with generalized convexity Journal of Global Optimization, 44(2009), 593608. ISI JP41 I. Ahmad, Z. Husain and Sarita Sharma, Second order duality for minmax fractional programming, Optimization Letters, 3(2009), 277286. ISI JP42 I. Ahmad, A. Iqbal and S. Ali, On properties of geodesic η priinvex functions, Advances in Operations Research (2009), doi:10.1155/2009/381831. JP43 I. Ahmad and Z. Husain, Multiobjective mixed symmetric duality involving cones, Computers and Mathematics with Applications, 59(2010), 319326. ISI JP44 I. Ahmad and Z. Husain, On multiobjective second order symmetric duality with cone constraints, European Journal of Operational Research, 204(2010), 402409. ISI JP45 I. Ahmad and Sarita Sharma, Sufficiency and duality for multiobjective variational control problems with generalized (F, α, ρ d) V –convexity, Nonlinear Analysis: Theory, Methods and Applications, 72(2010), 25642579. ISI JP46 R. P. Agarwal, I. Ahmad and A. Jayswal, HigherOrder Symmetric Duality in Nondifferentiable Multiobjective Programming Problems Involving Generalized Cone Convex Functions, Mathematical and Computer Modelling, 52(2010), 16441650. ISI JP47 A. Iqbal, I. Ahmad and S. Ali, Strong geodesic α preinvexity and invariant α monotonicity on Riemmanian manifolds, Numerical Functional Analysis and optimization, 31(2010), 13421361. ISI JP48 Ravi P. Agarwal, Izhar Ahmad, Z Husain and Anurag Jayswal, Optimality and duality in nonsmooth multiobjective optimization involving VType I invex functions, Journal of Inequalities and Applications, Volume 2010, Article ID 898626, 14 pages. ISI JP49 I. Ahmad and Ravi P. Agarwal, Second order converse duality for nonlinear programming, The Journal of Nonlinear Sciences and its Applications, 3(2010), 134144. JP50 I. Ahmad, Efficiency and duality in nonsmooth multiobjective programming with (F; α ρ, θ)dvunivexity, Advances in Mathematical Science and Applications, 20(2010), 399412. JP51 I. Ahmad, Z. Husain and S. AlHomidan, Second order duality in nondifferentiable fractional programming, Nonlinear Analysis: Real World Applications, 12 (2011)11031110. ISI JP52 A. Jayswal, I. Ahmad and S. AlHomidan, Sufficiency and duality for nonsmooth multiobjective programming problems involving generalized (F; α ρ, θ)dv univex functions, Mathematical and Computer Modelling, 53(2011), 8190. ISI JP53 I. Ahmad and Z. Husain, A note on converse duality in nonlinear programming with cone constraints, Dynamics of Continuous, Discrete and Impulsive Systems, Series A: Mathematical Analysis, 18(2011), 525533. JP54 Izhar Ahmad, Efficiency and duality in nondifferentiable multiobjective programming involving directional derivative, Applied Mathematics, 2(2011), 452460. JP55 I. Ahmad, S. AlHomidan, and Sarita Sharma, Duality for nondifferentiable multiobjective variational problems with generalized type I functions, Dynamics of Continuous, Discrete and Impulsive Systems, Series A: Mathematical Analysis, 18(2011),443455. JP56 Ravi P. Agarwal, Izhar Ahmad, S. K. Gupta, and N. Kailey, Generalized second order mixed symmetric duality in nondifferentiable mathematical programming Abstract and Applied Analysis, Volume 2011, Article ID 103597,14 pages. ISI JP57 Ravi P. Agarwal, Izhar Ahmad, S.K. Gupta, A note on higherorder nondifferentiable symmetric duality in multiobjective programming, Applied Mathematics Letters, 24(2011), 13081311. ISI JP58 I. Ahmad, S. K. Gupta, and A. Jayswal, On sufficiency and duality for nonsmooth multiobjective programming problems involving generalized Vrinvex functions, Nonlinear Analysis: Theory, Methods & Applications, 74(2011), 59205928. ISI JP59 A. Jayswal, Stancu Minasian, and I. Ahmad, On sufficiency and duality for a class of intervalvalued programming problems, Applied Mathematics and Computation, 218 (2011), 41194127. ISI JP60 I. Ahmad, S.K. Gupta, N. Kailey, and R. P. Agarwal, Duality in nondifferentiable minimax fractional programming with B(p,r)invexity, Journal of Inequalities and Applications, 2011, no. 75, pp. 115, 2011. ISI JP61 Anurag Jayswal, I. Ahmad, and Dilip Kumar, Nondifferentiable minimax fractional programming problem with nonsmooth generalized convex functions ,Communications on Applied Nonlinear Analysis, 18(2011), 5775. JP62 I. Ahmad, On second order duality for minimax fractional programming problems with generalized convexity, Abstract and Applied Analysis, 2011. Article ID 563924, 15 pages. ISI. JP63 A. Iqbal, I. Ahmad and S. Ali, Some properties of geodesic semiEconvex functions, Nonlinear Analysis: Theory, Methods and Applications, 74(2011), 68056813. ISI JP64 I. Ahmad, Unified higher order duality in nondifferentiable multiobjective programming involving cones, Mathematical and Computer Modelling, 55(2012), 419425. ISI JP65 R.P. Agarwal, I. Ahmad, A. Iqbal, and S. Ali, Generalized invex sets and preinvex functions on Riemannian manifolds, Taiwanese Journal of Mathematics, 16(2012), 17191732. ISI JP66 A. Iqbal, S. Ali, and I. Ahmad, On Geodesic EConvex Sets, Geodesic E Convex Functions and EEpigraphs, Journal of Optimization Theory and Applications, 155(2012), 239251. ISI JP67 R. P. Agarwal, I. Ahmad, Akhlad Iqbal and Shahid Ali, Geodesic Ginvex sets and semistrictly geodesic ηpriinvex functions, Optimization, 61 (2012), 11691174. ISI JP68 R. P. Agarwal, I. Ahmad, and S. AlHomidan, Optimality and duality for nondifferentiable multiobjective programming problems involving generalized d ρ , (η, θ) typeI invex functions, Journal of Nonlinear and Convex Analysis, 13(2012), 733744. ISI JP69 I. Ahmad, Higherorder duality in nondifferentiable minimax fractional programming involving generalized convexity, Journal of Inequalities and Applications, 2012, 18, 2012:306. ISI JP70 I. Ahmad, Second order nondifferentiable minimax fractional programming with square root terms, Filomat 27(2013), 126133.ISI JP71 S. Sharma and I. Ahmad, Suffciency in nonsmooth multiobjective fractional programming, Journal of Applied Mathematics and Informatics, 31(2013), 189197. JP72 A. Jayswal, A.K. Prasad, and I. Ahmad, Generalized (Hp; r)invexity in multiobjective programming problems, Advanced Modeling and Optimization, 15(2013), 801813. JP73 I. Ahmad, Ravi P. agarwal and A. Jayswal, Higher order duality in nondifferentiable fractional programming involving generalized convexity, Journal of Computational Analysis and Applications 15(2013), 14441455. ISI JP74 I. Ahmad and Z. Husain, Second order symmetric duality in multiobjective programming involving cones, Optimization Letters, 7(2013), 13531365. ISI JP75 I. Ahmad, Anurag Jayswal and Jonaki Banerjee, On intervalvalued optimization problems with generalized invex functions, Journal of Inequalities and Applications, no. 313, pp. 114, 2013. ISI JP76 Anurag Jayswal, Ashish Kumar Prasad and I. Ahmad, Second order multiobjective fractional symmetric duality over cone constraints Communication on Applied Nonlinear Analysis 20 (2013) 3346. JP77 Anurag Jayswal, Ashish Kumar Prasad, I. Ahmad and Ravi P. Agarwal, Duality for semiinfinite programming problems involving (Hp; r)invex functions, Journal of Inequalities and Applications, no. 200, pp. 114, 2013. ISI. JP78 G Muhiuddin1, Abdullah M Al roqi and I Ahmad, Nondifferentiable minimax fractional programming with higherorder type I functions, Journal of Inequalities and Applications, N0. 484, pp. 114, 2013. ISI JP79 Anurag Jayswal, Ioan Stancu Minasian Izhar Ahmad and Krishna Kummari, Generalized minimax fractional programming problems with generalized nonsmooth (F, α ρ ,d, θ )univex functions, Journal of Nonlinear Analysis and Optimization: Theory & Applications, 4(2013), 227239. JP80 Anurag Jayswal, Ioan StancuMinasian and I. Ahmad, Second order duality for minmax fractional programming problem involving (F, α, ρ, d)type I functions, Bulletin of the Malaysian Mathematical Science Society, 37(2014), 893906 ISI. JP81 I. Ahmad, Z. Husain, and S. AlHomidan, "Mixed type symmetric duality for multiobjective variational problems with cone constraints, International Transactions in Operational Research, 21(2014), 291310. ISI JP82 Anurag Jayswal, Ashish Kumar Prasad and Izhar Ahmad, On minimax fractional programming problems involving generalized (Hp, r)invex functions, Journal of Industrial and Management Optimization, 10(2014), 10011018. ISI JP83 M. A. Khan, I. Ahmad and F. R. AlSolamy, Geodesic rpreinvex functions on Riemanian manifolds, Journal of Inequalities and Applications, no.144, pp. 111, 2014. ISI. JP84 A. Jayswal, I. Ahmad, K. Kummari and S. AlHomidan, On minimax programming problems involving right upperDiniderivative functions, Journal of Inequalities and Applications, no. 326, pp. 115, 2014. ISI. JP85 A. Jayswal, I. Ahmad and K. Kummari, Duality for minimax fractional programming problems under second order (phi; rho)invexity, Dynamics of Continuous, Discrete and Impulsive Systems, Series A: Mathematical Analysis, 21(2014), 153169. JP86 Anurag Jayswal, I. Ahmad, Ashish Kumar Prasad, Duality in multiobjective fractional programming problems involving (Hp, r)invex functions, Journal of Applied Mathematics and Informatics, 32 (2014), 99111. JP87 I. Ahmad and Z. Husain, Second order fractional symmetric duality, Southeast Asian Bulletin of Mathematics, 38 (2014), 110. JP88 A. Jayswal, I. Ahmad and K. Kummari, Sufficiency and duality in minimax fractional programming with generalized (phi; rho) invexity, Mathematical Reports,, 17 (2015), 183200. ISI. JP89 I. Ahmad, D. Singh and B.A. Dar, Optimality conditions in multiobjective programming problems with interval valued objective functions, Control & Cybernetics, 44(2015), 127. JP90 Anurag Jayswal, I. Ahmad, Ashish Kumar Prasad, Higher order fractional symmetric duality over cone constraints, Journal of Mathematical Modelling and Algorithms in Operations Research, 14 (2015) :91–101. JP91 Anurag Jayswal, I. Ahmad, Ashish Kumar Prasad, Higher order fractional symmetric duality over cone constraints, Journal of Mathematical Modelling and Algorithms in Operations Research, 14 (2015) :91–101. JP92 A. Jayswal, Izhar Ahmad and Krishna Kummari, Optimality conditions and duality in multiobjective fractional programming involving right upper –Diniderivative functions, Miskolc Mathematical Notes, 16(2015 ), 887906. (ISI, Q4 JP93 Izhar Ahmad and S. AlHomidan, Sufficiency and duality in nondifferentiable multiobjective programming involving higher order strong invexity, Journal of Inequalities and Applications No.319 (2015) , 111 (ISI, Q2) JP94 Izhar Ahmad, D. Singh, B. A. Dar and S. AlHomidan, On interval valued functions and Mangasarian type duality involving Hukuhara derivative, Journal of Computational Analysis and Applications, 21(2016), 881896. (ISI, Q3) JP95 M. Tanveer, M. Mangal, I. Ahmad and Y.H. Shao, One norm linear programming support vector regression, Neurocomputing, 173(2016), 15081518. (ISI, Q1) JP96 I.P. Debnath, S. K. Gupta and I. Ahmad, A note on second duality theorem for a multiobjective higherorder nondifferentiable symmetric dual programs, Opsearch, 53(2016), 151156. JP97 S. Choudhury, A. Jayswal and I. Ahmad,, Second order monotonicities and second order variationallike inequality problems, Rendiconti Del Circolo Mathematico di Palermo, 65(2016), 123137. (Indexed in Scopus) JP98 I. Ahmad, Integral inequalities under beta function and preinvex type functions, SpringerPlus, 5(2016): 521, 16. (ISI, Q2) JP99 A. Jayswal, I. Ahmad and J. Banerjee, Nonsmooth intervalvalued optimization and saddlepoint optimality criteria, Bulletin of the Malaysian Mathematical Sciences Society, 39(2016), 13911411 (ISI, Q2). JP100 I. Ahmad, D. Singh and B. A. Dar, Optimality conditions for invex interval valued nonlinear programming, Filomat, 30 (2016), 21212138. (ISI, Q2) JP101 I. Ahmad, K. Kummari, V. Singh and A. Jayswal, Optimality and duality for nonsmooth minimax programming problems using convexifactor, Filomat, 31(2017), 45554570 (ISI, Q2). JP102 A. Jayswal, V. Singh , I. Ahmad, Optimality and duality in multiobjective programming involving semilocally strong convexity , Int. J. Mathematics in Operational Research, 11 (2017), 204218 (Indexed in Scopus) . JP103 Izhar Ahmad Deepak Singh, Bilal Ahmad Dar, Optimality and duality in nondifferentiable interval valued multiobjective programming , Int. J. Mathematics in Operational Research, 11 (2017), 332356 (Indexed in Scopus) . JP104 A. Jayswal , S. Jha, A. K. Prasad and Izhar Ahmad, Secondorder symmetric duality in variational control problems over cone constraints, AsiaPacific Journal of Operational Research , Accepted (2017) (ISI ). JP105 I Ahmad, Anurag Jayswal, S AlHomidan, Jonaki Banerjee, Sufficiency and duality in intervalvalued variational programming, Neural Computing and Applications (2018) (Accepted) (ISI).
