Optimality and duality for multiple-objective optimization under generalized type I univexity

On optimality and duality for multiple-objective optimization under generalized type I univexity

Sufficiency and duality for a nonsmooth vector optimization problem with generalized $alpha$-$d_{I}$-type-I univexity over cones‎

In this paper, using Clarke’s generalized directional derivative and dI-invexity we introduce new concepts of nonsmooth K-α-dI-invex and generalized type I univex functions over cones for a nonsmooth vector optimization problem with cone constraints. We obtain some sufficient optimality conditions and Mond-Weir type duality results under the foresaid generalized invexity and type I cone-univexi...

sufficiency and duality for a nonsmooth vector optimization problem with generalized $alpha$-$d_{i}$-type-i univexity over cones‎

in this paper, using clarke’s generalized directional derivative and di-invexity we introduce new concepts of nonsmooth k-α-di-invex and generalized type i univex functions over cones for a nonsmooth vector optimization problem with cone constraints. we obtain some sufficient optimality conditions and mond-weir type duality results under the foresaid generalized invexity and type i cone-univexi...

OPTIMALITY AND DUALITY FOR MULTIOBJECTIVE FRACTIONAL PROGRAMMING PROBLEMS WITH n-SET FUNCTIONS AND GENERALIZED V -TYPE-I UNIVEXITY

Problems of multiobjective optimization are widespread in mathematical modelling of real world systems for a very broad range of applications. In particular, several classes of multiobjective problems with set and n-set functions have been the subject of several papers in the last few decades. For a historical survey of optimality conditions and duality for programming problems involving set an...

Optimality and Duality for Multiple-Objective Optimization with Generalized α-Univex Functions

The aim of the present paper is to obtain a number of Kuhn-Tucker type sufficient optimality conditions for a feasible solution to be an efficient solution under the assumptions of the new notions of weak strictly pseudo quasi α-univex, strong pseudo quasi α-univex, and weak strictly pseudo α-univex vector valued functions. We also derive the duality theorems for Mond-Weir and general Mond-Wei...