On strong KKT type sufficient optimality conditions for nonsmooth multiobjective semi-infinite mathematical programming problems with equilibrium constraints

In this paper, we consider a nonsmooth multiobjective semi-infinite mathematical programming problems with equilibrium constraints (MOSIMPECs). We introduce the concept of Mordukhovich stationary point for the nonsmooth multiobjective semi-infinite mathematical programming problems with equilibrium...

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Bibliographic Details
Published in:Operations research letters Vol. 44; no. 1; pp. 148 - 151
Main Authors: Pandey, Yogendra, Mishra, S.K.
Format: Journal Article
Language:English
Published: Elsevier B.V 01.01.2016
Subjects:
Generalized invexity
Mathematical programming
Mathematical programming problems with equilibrium constraints
Multiobjective programming
Operations research
Optimality conditions
Optimization
Semi-infinite programming
Optimality conditions
Semi-infinite programming
Generalized invexity
Mathematical programming problems with equilibrium constraints
Multiobjective programming
ISSN:0167-6377, 1872-7468
Online Access:Get full text
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Summary:In this paper, we consider a nonsmooth multiobjective semi-infinite mathematical programming problems with equilibrium constraints (MOSIMPECs). We introduce the concept of Mordukhovich stationary point for the nonsmooth multiobjective semi-infinite mathematical programming problems with equilibrium constraints in terms of the Clarke subdifferentials. Further, we establish that the M-stationary conditions introduced in this paper are strong KKT type sufficient optimality conditions for the nonsmooth multiobjective semi-infinite mathematical programming problems with equilibrium constraints under generalized invexity assumptions. We also illustrate our result with an example.
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ISSN:0167-6377
1872-7468
DOI:10.1016/j.orl.2015.12.007