Nonsmooth Semi-infinite Multiobjective Optimization Problems

Thai Doan Chuong () and Do Sang Kim ()
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Thai Doan Chuong: Saigon University
Do Sang Kim: Pukyong National University

Journal of Optimization Theory and Applications, 2014, vol. 160, issue 3, No 3, 748-762

Abstract: Abstract We apply some advanced tools of variational analysis and generalized differentiation to establish necessary conditions for (weakly) efficient solutions of a nonsmooth semi-infinite multiobjective optimization problem (SIMOP for brevity). Sufficient conditions for (weakly) efficient solutions of a SIMOP are also provided by means of introducing the concepts of (strictly) generalized convex functions defined in terms of the limiting subdifferential of locally Lipschitz functions. In addition, we propose types of Wolfe and Mond–Weir dual problems for SIMOPs, and explore weak and strong duality relations under assumptions of (strictly) generalized convexity. Examples are also designed to analyze and illustrate the obtained results.

Keywords: Optimality condition; Duality; Limiting/Mordukhovich subdifferential; Approximate extremal principle; Semi-infinite optimization (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (7)

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DOI: 10.1007/s10957-013-0314-8

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