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2013 WEAK E-OPTIMAL SOLUTION IN VECTOR OPTIMIZATION
Ke-Quan Zhao, Xin-Min Yang, Jian-Wen Peng
Taiwanese J. Math. 17(4): 1287-1302 (2013). DOI: 10.11650/tjm.17.2013.2721

Abstract

In a real locally convex Hausdorff topological vector space, we first introduce the concept of nearly $E$-subconvexlikeness of set-valued maps via improvement set and obtain an alternative theorem. Furthermore, under the assumption of nearly subconvexlikeness, we establish scalarization theorem, Lagrange multiplier theorem, weak $E$-saddle point criteria and weak $E$-duality for weak $E$-optimal solution in vector optimization with set-valued maps. We also propose some examples to illustrate the main results.

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Ke-Quan Zhao. Xin-Min Yang. Jian-Wen Peng. "WEAK E-OPTIMAL SOLUTION IN VECTOR OPTIMIZATION." Taiwanese J. Math. 17 (4) 1287 - 1302, 2013. https://doi.org/10.11650/tjm.17.2013.2721

Information

Published: 2013
First available in Project Euclid: 10 July 2017

zbMATH: 1304.90191
MathSciNet: MR3085511
Digital Object Identifier: 10.11650/tjm.17.2013.2721

Subjects:
Primary: 90C26, 90C29, 90C30

Rights: Copyright © 2013 The Mathematical Society of the Republic of China

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Vol.17 • No. 4 • 2013
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