Open Access
2012 EXISTENCE OF SOLUTIONS OF STRONG VECTOR EQUILIBRIUM PROBLEMS
Q. H. Ansari, A. P. Farajzadeh, S. Schaible
Taiwanese J. Math. 16(1): 165-178 (2012). DOI: 10.11650/twjm/1500406534

Abstract

In this paper, we consider strong form of a vector equilibrium problem and establish some existence results for solutions of such a problem in the setting of topological vector spaces. We provide several coercivity conditions under which strong vector equilibrium problem has a solution. Our results generalize and extend the results of Bianchi and Pini [10] to the topological vector space setting.

Citation

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Q. H. Ansari. A. P. Farajzadeh. S. Schaible. "EXISTENCE OF SOLUTIONS OF STRONG VECTOR EQUILIBRIUM PROBLEMS." Taiwanese J. Math. 16 (1) 165 - 178, 2012. https://doi.org/10.11650/twjm/1500406534

Information

Published: 2012
First available in Project Euclid: 18 July 2017

zbMATH: 1238.49014
MathSciNet: MR2887858
Digital Object Identifier: 10.11650/twjm/1500406534

Subjects:
Primary: 49J40

Keywords: coercivity conditions , existence results , generalized monotonicities , KKM theorem , recession cones , vector equilibrium problems

Rights: Copyright © 2012 The Mathematical Society of the Republic of China

Vol.16 • No. 1 • 2012
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