List of Publications of Dr. Izhar Ahmad: 45 (CV)

       
       
       
   

52. I. Ahmad, Z. Husain and S. Al-Homidan, Second order duality in nondifferentiable
fractional programming , Nonlinear Analysis: Real World Applications,
12 (2011), 1103-1110 ISI
53. A. Jayswal, I. Ahmad and S. Al-Homidan, Sufficiency and duality for nonsmooth
multiobjective programming problems involving generalized (F, α, ρ, θ)-
d-v-univex functions, Mathematical and Computer Modelling, 53(2011),
81-90. ISI
54. 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), 525-533.
ISI
55. I. Ahmad, S. Al-Homidan, 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),443-455. ISI
56. 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
57. Ravi P. Agarwal, Izhar Ahmad, S.K. Gupta, A note on higher-order nondifferentiable
symmetric duality in multiobjective programming, Applied Mathematics
Letters, 24(2011), 1308-1311. ISI
58. Izhar Ahmad, Efficiency and duality in nondifferentiable multiobjective programming
involving directional derivative, Applied Mathematics, 2(2011),
452-460.
59. I. Ahmad, Nonsmooth minimax programming with (ϕ, ρ)-invex functions” ,”
in Proceeding of the Annual International Conference on Operations Research
and Statistics, Penang, Malaysia, ISBN:978-981-08-8407-9, 2011, pp. 168-173.
60. R. P. Agarwal, I. Ahmad, S.K. Gupta, and N. Kailey, Generalized secondorder
mixed symmetric duality in nondifferentiable mathematical programming,
Abstract and Applied Analysis, vol. 2011, no. 103597, pp. 14,
2011.
61. I. Ahmad, S. K. Gupta, and A. Jayswal, On sufficiency and duality for
nonsmooth multiobjective programming problems involving generalized V-rinvex
functions, Nonlinear Analysis: Theory, Methods & Applications,
74(2011), 5920-5928. ISI
62. A.Jayswal, Stancu Minasian, and I. Ahmad, On sufficiency and duality for a
class of interval-valued programming problems, Applied Mathematics and
Computation, 218 (2011), 4119-4127 . ISI

 

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63. 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. Accepted.ISI
64. Anurag Jayswal, I. Ahmad, and Dilip Kumar, Nondifferentiable minimax
fractional programming problem with nonsmooth generalized convex functions
, Communications on Applied Nonlinear Analysis, 2011. Accepted.
65. I. Ahmad, On second order duality for minimax fractional programming problems
with generalized convexity ,Abstract and Applied Analysis, 2011.
Accepted. ISI
66. I. Ahmad, Unified higher order duality in nondifferentiable multiobjective
programming involving cones ,Mathematical and Computer Modelling,
55(2012), 419-425. ISI
67. 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), 1719-1732.ISI
68. A. Iqbal, S. Ali, and I. Ahmad, On Geodesic E-Convex Sets, Geodesic EConvex
Functions and E-Epigraphs, Journal of Optimization Theory and
Applications, 155(2012), 239-251. ISI
69. R. P. Agarwal, I. Ahmad, Akhlad Iqbal and Shahid Ali, Geodesic G-invex
sets and semistrictly geodesic η-priinvex functions, Optimization, 61 (2012),
1169-1174. ISI
70. Anurag Jayswal, Ioan Stancu-Minasian, and I. Ahmad, Multiobjective Programming
Problem Involving B-(p,r)-Type I Functions, in Proceedings of
the World Congress on Engineering 2012 Vol I WCE 2012, July 4 - 6,
2012, London, U.K. ISBN: 978-988-19251-3-8, ISSN: 2078-0958 (Print), 2012,
pp. 1-6.
71. R. P. Agarwal, I. Ahmad, and S. Al-Homidan, Optimality and duality for
nondifferentiable multiobjective programming problems involving generalized
(F, α, ρ, d) type I functions, Journal of Nonlinear and Convex Analysis,
2011. Accepted. ISI
72. I. Ahmad, Second order non-differentiable minimax fractional programming
with square root terms, Filomat, 27(2013), 126-133.ISI
73. I. Ahmad, Ravi P Agarwal, and A. Jayswal,Higher order duality in nondifferentiable
fractional programming involving generalized convexity ,Journal of
Computational Analysis and Applications, 2013. Accepted. ISI
74. I. Ahmad and Z. Husain, Second order symmetric duality in multiobjective
programming involving cones, Optimization Letters, 2013. Accepted. ISI
75. S. sharma and I. Ahmad, Sufficiency in nonsmooth multiobjective fractional
programming, Journal of Applied Mathematics and Informatics, 2013.
Accepted.

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  I. Ahmad And Sarita Sharma, .  Sufficiency and duality for multiobjective variational control problems with generalized (F, α, ρ, θ)-V-convexity , Nonlinear Analysis: Theory, Methods and Applications, 72 (2010),  2564-2579 .

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I. Ahmad and Z. Husain, On multiobjective second order symmetric duality with cone constraints, European Journal of Operational Research,  204(2010), 402-409.

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I.Ahmad and Z. Husain, Multiobjective mixed symmetric duality involving cones, Computers and Mathematics with Applications ,59( 2010), 319-326.

43

   

I. Ahmad, A. Iqbal and S. Ali, On properties of geodesic η-priinvex functions, Advances in Operations Research (2009), doi:10.1155/2009/381831

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I. Ahmad, Z. Husain and Sarita Sharma, Higher order duality in nondifferentiable minimax programming with generalized type I functions, Journal of Optimization Theory and Application, 141(2009), 1-12.

41

   

 Z. Husain, A. Jayswal and I. Ahmad, Second order duality for nondifferentiable minimax programming problems with generalized convexity, Journal of Global Optimization, 44(2009), 593-608.

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 I. Ahmad and Sarita Sharma, Sufficiency and duality in minimax fractional subset programming involving geralized type I functions, Journal of Applied Mathematics and Informatics , 26(2009), 991-1010.

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Z.Husain, I. Ahmad and Sarita Sharma, Second Order Duality for Minimax Fractional Programming, Optimization Letters 3(2009), 277-286.

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I. Ahmad and Z. Husain, Second order duality in Multiobjective Programming, Journal of Applied Analysis, 14(2008), 131-148.

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Z.Husain and I.Ahmad, Note on Mond-Weir type nondifferentiable second order symmetric duality, Optimization Letters, 2(2008), 599-604.

36

   

T. R. Gulati, I. Ahmad and S.K. gupta, Second order symmetric duality with cone constraints, Journal of Computational and Applied Mathematics, 220(2008), 347-354.

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I. Ahmad, Z. Husain and Sarita Sharma, Second order duality in nondifferentiable minimax programming involving type I functions,  Journal of Computational and Applied Mathematics,   215(2008), 91-102.

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I .Ahmad and Sarita Sharma, Symmetric duality for multiobjective fractional variational problems involving cones, European Journal of Operational Research, 188(2008), 695-704.

33

   

I. Ahmad and Sarita Sharma, Multiobjective fractional symmetric duality involving cones, Journal of Applied Mathematics and Informatics, 26(2008), 151-160.

32

       

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I. Ahmad, Z. Husain and Sarita Sharma, Higher order duality in nondifferentiable multiobjective programming, Numerical Functional Analysis and Optimization, 28(2007), 989-1002

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I. Ahma and Sarita Sharma, Second order duality in nondifferentiable multiobjective programming, Numerical Functional Analysis and Optimization, 28(2007), 975-988

30

   

 I. Ahmad and Sarita Sharma, Optimality conditions and duality in nonsmooth multiobjective optimization, Journal of Nonlinear and Convex Analysis, 8(2007), 417-430.

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 I. Ahmad and Sarita Sharma, Sufficiency in Multiobjective subset programming involving generalized type I functions,  Journal of Global Optimization, 39(2007), 473-481.

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 T. R. Gulati, I. Ahmad and Divya Agarwal, Suffiency and Duality in multiobjective programming under generalized type I functions, Journal of Optimization Theory and Applications, 135(2007), 411-427.

27

   

I. Ahmad, M. Yaqoob and A. Ahmed, Symmetric duality for fractional variational problems with cone constraints,  Journal of Applied Mathematics and Computing, 23(2007), 281-292.

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I. Ahmad and Z. Husain, Minimax mixed integer symmetric duality for multiobjective variational problems, European Journal of Operational Research, 177(2007), 71-82.

25

   

I. Ahmad and T. R. Gulati, Mixed Symmetric Duality for nondifferentiable programming problems, Opsearch, 43(2006), 296-308.

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 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), 255-275.

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I. Ahmad and Z.Husain, Second order (F, alpha, rho,d)-convexity and duality in multiobjective programming,  Information Sciences, 176(2006), 3094-3103.

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 I. Ahmad and Z. husain, Duality in nondifferentiable minimax fractional programming with generalized convexity, Applied Mathematics and Computation, 178(2006), 545-551.

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I. Ahmad, Symmetric duality for multiobjective fractional variational problems with generalized convexity, Information Sciences, 176(2006), 2192-2207.

20

   

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), 13-25.

19

       
   

I. Ahmad and Z. Husain, On symmetric duality in nondifferentiable mathematical programming with F-convexity, Journal of Applied Mathematics and Computing, 19(2005), 371-384.

18

   

I. Ahmad, Second order symmetric duality for nondifferentiable minimax mixed integer programs,  Southeast Asian Bulletin of Mathematics, 29(2005), 843-849.

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I. Ahmad and T.R. Gulati, Mixed type duality for multiobjective variational problems with generalized (f, \rho)-convexity, Journal of Mathematical Analysis and Applications, 306(2005), 669-683.

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I. Ahmad and Z. Husain, Nondifferentiable second order symmetric duality in multiobjective programming,  Applied Mathematics Letters, 18(2005), 721-728.

15

   

I. Ahmad, Multiobjective mixed symmetric duality with invexity, New Zealand Journal of Mathematics, 34(2005), 1-9.

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I. Ahmad, Second order symmetric duality in nondifferentiable multiobjective programming, Information Sciences, 173(2005), 23-34.

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I. Ahmad and Z. Husain, On nondifferentiable second order symmetric duality,  Asia-pcific Journal of Operational Research, 22(2005), 19-31.

12

   

I. Ahmad, Sufficiency and duality in multiobjective programming with generalized (f, \rho)-convexity, Journal of Applied Analysis, 11(2005), 19-32.

11

   

 I. Ahmad,  Optimality conditions and mixed duality in nondifferentiable programming, Journal of Nonlinear and Convex Analysis, 5(2004), 113-119.

10

   

I. Ahmad and  Z. Husain, On nondifferentiable second order symmetric duality in mathematical programming,    Indian Journal of Pure and Applied Mathematics, 35(2004), 665-676.

 9

   

I. Ahmad, Sufficient optimality conditions for nondifferentiable programming, Aligarh Bulletin of Mathematics, 22(2003), 113-117.

8

   

I. Ahmad, Optimality conditions and duality in fractional minimax programming involving generalized \rho-convexity    International Journal of Management and Systems, 19(2003), 165-180.

7

   

T. R. Gulati, I. Ahmad and I. Husain, Second order symmetric duality with generalized convexity, Opsearch, 38(2001), 210-222.

6

   

T.R. Gulati, I. Ahmad and I. Husain, Symmetric duality for minimax variational problems, Mathematical Methods of Operations Reasearch, 48(1998), 81-96.

5

   

T.R. Gulati and I. Ahmad, Multiobjective duality using Fritz John conditions, Asia-Pacific Journal of Operational Reasech, 15(1998), 63-74.

4

   

T.R. Gulati ,I. Ahmad and I.Husain, Symmetric duality for nondifferentiable minimax mixed integer programming problems, Optimization, 39(1997), 69-84.

3

   

T.R. Gulati and I. Ahmad, Second order symmetric duality for nonlinear minimax integer programs, European Journal of Operational Research, 101(1997), 122-129

2

   

T.R. Gulati and I. Ahmad, Efficiency and Duality in Multiobjective fractional programming, Opsearch, 32(1995), 31-43

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