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2009 CONNECTEDNESS AND PATH-CONNECTEDNESS OF SOLUTION SETS TO SYMMETRIC VECTOR EQUILIBRIUM PROBLEMS
Ren-you Zhong, Nan-jing Huang, Mu-Ming Wong
Taiwanese J. Math. 13(2B): 821-836 (2009). DOI: 10.11650/twjm/1500405407

Abstract

In this paper, we study the connectedness and path-connectedness of the solution sets for symmetric vector equilibrium problems in locally convex Hausdorff topological vector spaces under some suitable assumptions. The results presented in this paper generalize some known results in [10, 14, 24, 32, 33].

Citation

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Ren-you Zhong. Nan-jing Huang. Mu-Ming Wong. "CONNECTEDNESS AND PATH-CONNECTEDNESS OF SOLUTION SETS TO SYMMETRIC VECTOR EQUILIBRIUM PROBLEMS." Taiwanese J. Math. 13 (2B) 821 - 836, 2009. https://doi.org/10.11650/twjm/1500405407

Information

Published: 2009
First available in Project Euclid: 18 July 2017

zbMATH: 1176.49019
MathSciNet: MR2510835
Digital Object Identifier: 10.11650/twjm/1500405407

Subjects:
Primary: 49J27 , 49J40

Keywords: $C$-concave , $C$-convex , $C$-quasiconvex , connectedness , path-connectedness , symmetric vector equilibrium problem

Rights: Copyright © 2009 The Mathematical Society of the Republic of China

Vol.13 • No. 2B • 2009
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