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Journal of Inequalities and Applications
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Optimality Conditions of Vector Set-Valued Optimization Problem Involving Relative Interior

Journal of Inequalities and Applications volume 2011, Article number: 183297 (2011) Cite this article

Abstract

Firstly, a generalized weak convexlike set-valued map involving the relative interior is introduced in separated locally convex spaces. Secondly, a separation property is established. Finally, some optimality conditions, including the generalized Kuhn-Tucker condition and scalarization theorem, are obtained.

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Authors and Affiliations

  1. College of Sciences, Shanghai University, Shanghai, 200444, China

    Zhiang Zhou

  2. Department of Applied Mathematics, Chongqing University of Technology, Chongqing, 400054, China

    Zhiang Zhou

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  1. Zhiang Zhou
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Correspondence to Zhiang Zhou.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Zhou, Z. Optimality Conditions of Vector Set-Valued Optimization Problem Involving Relative Interior. J Inequal Appl 2011, 183297 (2011). https://doi.org/10.1155/2011/183297

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  • DOI: https://doi.org/10.1155/2011/183297

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