Dr. Izhar Ahmad
Department of Mathematics & Statistics
King Fahd University of Petroleum & Minerals, Saudi Arabia
Associate Professor
Email: drizhar@kfupm.edu.sa
Research fields
Vector Optimization
Convex Analysis
Variational Programming
Qualifications
1997 Ph.D., Mathematics, Indian Institute of Technology, India
1992 M.Phil., Mathematics, Indian Institute of Technology, India
1990 M.Sc., Mathematics, Indian Institute of Technology, India
Publications (selected)

T.R. Gulati andIzhar Ahmad, Second order symmetric duality for nonlinear minimax integer programs,European Journal of Operational Research, 101(1997), 122129.ISI

T.R. Gulati, I. Husain andIzhar Ahmad, Symmetric duality for nondifferentiable minimax mixed integer programming problems ,Optimization, 39(1997), 6984.ISI

T.R. Gulati, I. Husain andIzhar Ahmad, Symmetric duality for minimax variational problems,Mathematical Methods of Operations Research, 48(1998),8196.ISI

I. Ahmadand Z. Husain, On nondifferentiable second order symmetric duality,AsiaPacific Journal of Operational Research, 22(2005), 1931.ISI

Izhar Ahmad, Second order symmetric duality in nondifferentiable multiobjective programming,Information Sciences, 173 (2005),2334.ISI

I. Ahmadand Z. Husain, Nondifferentiable second order symmetric duality in multiobjective programming ,Applied Mathematics Letters, 18(2005),721728.ISI

Izhar Ahmadand T. R. Gulati, Mixed type duality for multiobjective variational problems with generalized (f, ρ)convexity,Journal of MathematicalAnalysis and Applications, 306(2005), 669683.ISI

Izhar Ahmad, Symmetric duality for multiobjective fractional variationalproblems with generalized invexity,Information Sciences, 176(2006), 21922207.ISI

I. Ahmadand Z. Husain, Duality in nondifferentiable minimax fractional programming with generalized convexity ,Applied Mathematics and Computation, 178(2006), 545551. (ISI)

I. Ahmadand Z. Husain, Second order (F, α, ρ, d)convexity and duality in multiobjective programming,Information Sciences, 176(2006),30943103.ISI

I. Ahmadand Z. Husain, Optimality conditions and duality in nondifferentiable minimax fractional programming with generalized convexity,Journalof Optimization Theory and Applications, 129(2006), 255275.ISI

I. Ahmadand Z. Husain, Minimax mixed integer symmetric duality for multiobjective variational problems,European Journal of Operational Research, 177(2007), 7182.ISI

T.R. Gulati,I. Ahmadand D. Agarwal, Sufficiency and duality in multiobjective programming under generalized typeI functions ,Journal of OptimizationTheory and Applications, 135(2007), 411427 .ISI

Izhar Ahmadand Sarita Sharma, Sufficiency in multiobjective subset programminginvolving generalized typeI functions,Journal of Global Optimization, 39(2007), 473481.ISI

I. Ahmadand Sarita Sharma, Optimality conditions and duality in nonsmooth multiobjective optimization,Journal of Nonlinear and ConvexAnalysis, 8(2007), 417430.ISI

I. Ahmadand Sarita Sharma, Second order duality for nondifferential multiobjective programming problems,Numerical Functional Analysis andOptimization, 28 (2007), 975988.ISI

I. Ahmad, Z. Husain and Sarita Sharma, Higher order duality in nondifferentiablemultiobjective programming,Numerical Functional Analysis andOptimization, 28 (2007), 9891002.ISI

I. Ahmadand Sarita Sharma, Symmetric duality for multiobjective fractional variational problems involving cones,European Journal of OperationalResearch, 188(2008), 695704.ISI

I. AhmadZ. Husain and Sarita Sharma, Second order duality in nondifferentiableminmax programming involving typeI functions,Journal of Computationaland Applied Mathematics, 215(2008), 91102.ISI

T.R. Gulati, S.K. Gupta andI. Ahmad, Secondorder symmetric duality with cone constraints,Journal of Computational and Applied Mathematics, 220(2008),347354.ISI

Z. Husain, AnuragJayswal andI. Ahmad, Second order duality for nondifferentiableminimax programming problems with generalized convexityJournalof Global Optimization, 44(2009), 593608.ISI

I. Ahmad, Z. Husain and SaritaSharma,Second order duality for minmax fractional programming ,Optimization Letters,3(2009),277286.ISI

I. Ahmadand Z. Husain, Multiobjective mixed symmetric duality involving cones,Computers and Mathematics with Applications, 59( 2010), 319326.ISI

I. Ahmadand Sarita Sharma, Sufficiency and duality for multiobjective variational control problems with generalized (F, α, ρ, d)Vconvexity(SaritaSharma),Nonlinear Analysis: Theory, Methods and Applications, 72 (2010), 25642579.ISI

R. P. Agarwal,I. Ahmadand A. Jayswal, HigherOrder Symmetric Duality In Nondifferentiable Multiobjective Programming Problems Involving Generalized Cone Convex Functions,Mathematical and Computer Modelling, 52(2010), 16441650.ISI

A. Iqbal,I. Ahmadand S. Ali, Strong geodesicαpreinvexity and invariantαmonotonicity on Riemmanian manifolds,Numerical Functional Analysis and Optimization, 31(2010), 13421361.ISI

I. Ahmad, Z. Husain and S. AlHomidan, Second order duality in nondifferentiable fractional programming,Nonlinear Analysis: Real World Applications, 12 (2011), 11031110ISI

Ravi P. Agarwal,Izhar Ahmad, S.K. Gupta, A note on higherorder nondifferentiablesymmetric duality in multiobjective programming,Applied MathematicsLetters, 24(2011), 13081311.ISI

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

A.Jayswal, StancuMinasian, andI. Ahmad, On sufficiency and duality for class of intervalvalued programming problems,Applied Mathematics and Computation, 218 (2011), 41194127 .ISI

I. Ahmad, Unified higher order duality in nondifferentiable multiobjective programming involving cones ,Mathematical and Computer Modelling, 55(2012), 419425.ISI

A. Iqbal, S. Ali, andI. Ahmad, On Geodesic EConvex Sets, Geodesic EConvexFunctions and EEpigraphs,Journal of Optimization Theory and Applications, 155(2012), 239251.ISI

R. P. Agarwal,I. Ahmad,and S. AlHomidan, Optimality and duality for nondifferentiable multiobjective programming problems involving generalized (F, α, ρ, d) type I functions,Journal of Nonlinear and Convex Analysis,13(2012), 733744.ISI

I. Ahmad,Ravi P. agarwal and A. Jayswal , Higher order duality in nondifferentiablefractional programming involving generalized convexity,Journalof Computational Analysis and Applications15(2013), 14441455.ISI

I. Ahmadand Z. Husain, Second order symmetric duality in multiobjective programming involving cones,Optimization Letters, 2013. Accepted.ISI
Profile Details
http://faculty.kfupm.edu.sa/math/drizhar/
