Optimality and duality in nonsmooth multiobjective optimization involving V-type i invex functions

Ravi P. Agarwal; I. Ahmad; Z. Husain; A. Jayswal

doi:10.1155/2010/898626

Optimality and duality in nonsmooth multiobjective optimization involving V-type i invex functions

Ravi P. Agarwal, I. Ahmad, Z. Husain, A. Jayswal

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

A new class of generalized V-type I invex functions is introduced for nonsmooth multiobjective programming problem. Based upon these generalized invex functions, we establish sufficient optimality conditions for a feasible point to be an efficient or a weakly efficient solution. Weak, strong, and strict converse duality theorems are proved for Mond-Weir type dual program in order to relate the weakly efficient solutions of primal and dual programs.

Original language	English
Article number	898626
Journal	Journal of Inequalities and Applications
Volume	2010
DOIs	https://doi.org/10.1155/2010/898626
State	Published - 2010

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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title = "Optimality and duality in nonsmooth multiobjective optimization involving V-type i invex functions",

abstract = "A new class of generalized V-type I invex functions is introduced for nonsmooth multiobjective programming problem. Based upon these generalized invex functions, we establish sufficient optimality conditions for a feasible point to be an efficient or a weakly efficient solution. Weak, strong, and strict converse duality theorems are proved for Mond-Weir type dual program in order to relate the weakly efficient solutions of primal and dual programs.",

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AU - Agarwal, Ravi P.

AU - Ahmad, I.

AU - Husain, Z.

AU - Jayswal, A.

PY - 2010

Y1 - 2010

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AB - A new class of generalized V-type I invex functions is introduced for nonsmooth multiobjective programming problem. Based upon these generalized invex functions, we establish sufficient optimality conditions for a feasible point to be an efficient or a weakly efficient solution. Weak, strong, and strict converse duality theorems are proved for Mond-Weir type dual program in order to relate the weakly efficient solutions of primal and dual programs.

UR - https://www.scopus.com/pages/publications/78650751541

U2 - 10.1155/2010/898626

DO - 10.1155/2010/898626

M3 - Article

AN - SCOPUS:78650751541

SN - 1025-5834

VL - 2010

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

M1 - 898626

ER -

Optimality and duality in nonsmooth multiobjective optimization involving V-type i invex functions

Abstract

ASJC Scopus subject areas

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