On minimax programming problems involving right upper-Dini-derivative functions

Anurag Jayswal; Izhar Ahmad; Krishna Kummari; Suliman Al-Homidan

doi:10.1186/1029-242X-2014-326

On minimax programming problems involving right upper-Dini-derivative functions

Anurag Jayswal
, Izhar Ahmad
, Krishna Kummari
, Suliman Al-Homidan^*

^*Corresponding author for this work

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

2 Scopus citations

Abstract

In this paper, we derive necessary and sufficient optimality conditions for a general minimax programming problem involving some classes of generalized convexities with the tool-right upper-Dini-derivative. Moreover, using the concept of optimality conditions, Mond-Weir type duality theory has been developed for such a minimax programming problem. MSC:26A51, 49J35, 90C32.

Original language	English
Article number	326
Journal	Journal of Inequalities and Applications
Volume	2014
Issue number	1
DOIs	https://doi.org/10.1186/1029-242X-2014-326
State	Published - 25 Dec 2014

Bibliographical note

Publisher Copyright:
© 2014, Jayswal et al.; licensee Springer.

Keywords

duality
minimax programming
optimality
upper-Dini-derivative

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1186/1029-242X-2014-326

Cite this

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abstract = "In this paper, we derive necessary and sufficient optimality conditions for a general minimax programming problem involving some classes of generalized convexities with the tool-right upper-Dini-derivative. Moreover, using the concept of optimality conditions, Mond-Weir type duality theory has been developed for such a minimax programming problem. MSC:26A51, 49J35, 90C32.",

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AB - In this paper, we derive necessary and sufficient optimality conditions for a general minimax programming problem involving some classes of generalized convexities with the tool-right upper-Dini-derivative. Moreover, using the concept of optimality conditions, Mond-Weir type duality theory has been developed for such a minimax programming problem. MSC:26A51, 49J35, 90C32.

KW - duality

KW - minimax programming

KW - optimality

KW - upper-Dini-derivative

UR - https://www.scopus.com/pages/publications/84934964419

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On minimax programming problems involving right upper-Dini-derivative functions

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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