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2011 An Extension of a Generalized Equilibrium Problem
Sangho Kum, Mu-Ming Wong
Taiwanese J. Math. 15(4): 1667-1675 (2011). DOI: 10.11650/twjm/1500406371

Abstract

In this note, we consider a multi-valued version of a generalized system (GS) called the multi-valued generalized system (MGS). Using the Fan-Browder fixed point theorem and Brouwer’s fixed point theorem as basic tools, we provide existence theorems on (MGS) with and without monotonicity, respectively.

Citation

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Sangho Kum. Mu-Ming Wong. "An Extension of a Generalized Equilibrium Problem." Taiwanese J. Math. 15 (4) 1667 - 1675, 2011. https://doi.org/10.11650/twjm/1500406371

Information

Published: 2011
First available in Project Euclid: 18 July 2017

zbMATH: 1239.49009
MathSciNet: MR2848981
Digital Object Identifier: 10.11650/twjm/1500406371

Subjects:
Primary: 47H10 , 49J40 , 54H25

Keywords: equilibrium problem , generalized system , pseudomonotonicity , vector variational inequality

Rights: Copyright © 2011 The Mathematical Society of the Republic of China

Vol.15 • No. 4 • 2011
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