Optimality Conditions of Generalized Subconvexlike Set-Valued Optimization Problems Based on the Quasi-Relative Interior

Z. A. Zhou () and X. M. Yang ()
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Z. A. Zhou: Chongqing University of Technology
X. M. Yang: Chongqing Normal University

Journal of Optimization Theory and Applications, 2011, vol. 150, issue 2, No 8, 327-340

Abstract: Abstract In this paper, firstly, a new generalized subconvexlike set-valued map based on the quasi-relative interior is introduced. Secondly, by a separation theorem involving the quasi-relative interior, some separation properties are obtained. Finally, some optimality conditions are established. Our results improve some results in the literature.

Keywords: Quasi-relative interior; Generalized subconvexlike set-valued map; Separation theorem; Optimality conditions (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s10957-011-9844-0

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