Izhar Ahmad | Abasyn University (original) (raw)

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Papers by Izhar Ahmad

$Research paper thumbnail of Symmetric duality for multiobjective fractional variational problems with generalized invexity$

Information Sciences, 2006

Journal of Global Optimization, 2009

In this paper, we are concerned with a class of nondifferentiable minimax programming problem and... more In this paper, we are concerned with a class of nondifferentiable minimax programming problem and its two types of second order dual models. Weak, strong and strict converse duality theorems from a view point of generalized convexity are established. Our study naturally unifies and extends some previously known results on minimax programming.

Mathematical and Computer Modelling, 2010

Applied Mathematics Letters, 2005

$Research paper thumbnail of Duality in nondifferentiable minimax fractional programming with generalized convexity$

Applied Mathematics and Computation, 2006

Nonlinear Analysis-theory Methods & Applications, 2010

Journal of Optimization Theory and Applications, 2007

In this paper, new classes of generalized (F,α,ρ,d)-V-type I functions are introduced for differe... more In this paper, new classes of generalized (F,α,ρ,d)-V-type I functions are introduced for differentiable multiobjective programming problems. Based upon these generalized convex functions, sufficient optimality conditions are established. Weak, strong and strict converse duality theorems are also derived for Wolfe and Mond-Weir type multiobjective dual programs.

Journal of Optimization Theory and Applications, 2006

We establish sufficient optimality conditions for a class of nondifferentiable minimax fractional... more We establish sufficient optimality conditions for a class of nondifferentiable minimax fractional programming problems involving (F, α, ρ, d)-convexity. Subsequently, we apply the optimality conditions to formulate two types of dual problems and prove appropriate duality theorems.

Mathematical Methods of Operations Research, 1998

Wolfe and Mond-Weir type symmetric minimax dual variational problems are formulated and usual dua... more Wolfe and Mond-Weir type symmetric minimax dual variational problems are formulated and usual duality theorems are established under convexity-concavity and pseudoconvexity-pseudoconcavity hypotheses respectively on the function that appears in the two distinct dual pairs. Under an additional condition on the function the minimax variational problems are shown to be self duals. It is also discussed that our duality theorems can be viewed as dynamic generalization of the corresponding (static) symmetric and self duality theorems of minimax nonlinear mixed integer programming.

European Journal of Operational Research, 2007

Journal of Computational and Applied Mathematics, 2008

Applied Mathematics Letters, 2011

Information Sciences, 2005

Information Sciences, 2006

Journal of Mathematical Analysis and Applications, 2005

European Journal of Operational Research, 1997

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH ELSEVIER European Journal of Operational Research 101 (1... more EUROPEAN JOURNAL OF OPERATIONAL RESEARCH ELSEVIER European Journal of Operational Research 101 (1997) 122129 Theory and Methodology Second order symmetric duality for nonlinear minimax mixed integer programs TR Gulati a, *, Izhar Ahmad ba School of Basic and ...

$Research paper thumbnail of Second order duality for minmax fractional programming$

Optimization Letters, 2009

In the present paper, two types of second order dual models are formulated for a minmax fractiona... more In the present paper, two types of second order dual models are formulated for a minmax fractional programming problem. The concept of η-bonvexity/generalized η-bonvexity is adopted in order to discuss weak, strong and strict converse duality theorems.