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Optimality Conditions and Duality for Semi-Infinite Mathematical Programming Problem with Equilibrium Constraints

Mishra, SK and Jaiswal, M (2015) Optimality Conditions and Duality for Semi-Infinite Mathematical Programming Problem with Equilibrium Constraints. In: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 36 (4). pp. 460-480.

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Official URL: http://dx.doi.org/10.1080/01630563.2015.1013552

Abstract

This article considers a semi-infinite mathematical programming problem with equilibrium constraints (SIMPEC) defined as a semi-infinite mathematical programming problem with complementarity constraints. We establish necessary and sufficient optimality conditions for the (SIMPEC). We also formulate Wolfe- and Mond-Weir-type dual models for (SIMPEC) and establish weak, strong and strict converse duality theorems for (SIMPEC) and the corresponding dual problems under invexity assumptions.

Item Type: Journal Article
Publication: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
Publisher: TAYLOR & FRANCIS INC
Additional Information: Copy right for this article belongs to the TAYLOR & FRANCIS INC, 530 WALNUT STREET, STE 850, PHILADELPHIA, PA 19106 USA
Keywords: 90C34; 90C46; 90C33; Optimality conditions; Duality; Mathematical programming with equilibrium constraints; Semi-infinite programming
Department/Centre: Division of Electrical Sciences > Electrical Engineering
Date Deposited: 28 Apr 2015 07:25
Last Modified: 28 Apr 2015 07:25
URI: http://eprints.iisc.ac.in/id/eprint/51420

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