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Set-valued minimax programming problems under generalized cone convexity.

Authors :
Das, K.
Nahak, C.
Source :
Rendiconti del Circolo Matematico di Palermo (Series 2); Dec2017, Vol. 66 Issue 3, p361-374, 14p
Publication Year :
2017

Abstract

In this paper, a set-valued minimax programming problem (MP) is considered. The Karush-Kuhn-Tucker (KKT) sufficient optimality conditions are established for the problem (MP) via contingent epiderivative under generalized cone convexity assumptions. Mond-Weir ( MWD), Wolfe ( WD) and mixed ( MD) types duality are constructed for the problem (MP) and desired duality theorems between them are established. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0009725X
Volume :
66
Issue :
3
Database :
Complementary Index
Journal :
Rendiconti del Circolo Matematico di Palermo (Series 2)
Publication Type :
Academic Journal
Accession number :
126322193
Full Text :
https://doi.org/10.1007/s12215-016-0258-6