Sufficiency and duality in nondifferentiable multiobjective programming involving higher order strong invexity

Izhar Ahmad; Suliman Al-Homidan

doi:10.1186/s13660-015-0819-9

Sufficiency and duality in nondifferentiable multiobjective programming involving higher order strong invexity

Izhar Ahmad^*
, Suliman Al-Homidan

^*Corresponding author for this work

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

4 Scopus citations

Abstract

In the present paper, we consider a nondifferentiable multiobjective programming problem with support functions and locally Lipschitz functions. Several sufficient optimality conditions are discussed for a strict minimizer of a nondifferentiable multiobjective programming problem under strong invexity and its generalizations of order σ. Weak and strong duality theorems are established for a Mond-Weir type dual.

Original language	English
Article number	309
Journal	Journal of Inequalities and Applications
Volume	2015
Issue number	1
DOIs	https://doi.org/10.1186/s13660-015-0819-9
State	Published - 1 Dec 2015

Bibliographical note

Publisher Copyright:
© 2015, Ahmad and Al-Homidan.

Keywords

duality
locally Lipschitz function
multiobjective programming
optimality conditions
strict minimizer

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1186/s13660-015-0819-9

Cite this

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AB - In the present paper, we consider a nondifferentiable multiobjective programming problem with support functions and locally Lipschitz functions. Several sufficient optimality conditions are discussed for a strict minimizer of a nondifferentiable multiobjective programming problem under strong invexity and its generalizations of order σ. Weak and strong duality theorems are established for a Mond-Weir type dual.

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KW - locally Lipschitz function

KW - multiobjective programming

KW - optimality conditions

KW - strict minimizer

UR - https://www.scopus.com/pages/publications/84943161788

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Sufficiency and duality in nondifferentiable multiobjective programming involving higher order strong invexity

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this