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2014 Class 𝔄-KKM(X,Y,Z), General KKM Type Theorems, and Their Applications in Topological Vector Space
Gusheng Tang, Qingbang Zhang
Abstr. Appl. Anal. 2014(SI69): 1-10 (2014). DOI: 10.1155/2014/238191

Abstract

The class 𝔄-KKM(X,Y,Z) and generalized KKM mapping are introduced, and some generalized KKM theorems are proved. As applications, Ky Fan’s matching theorem and Fan-Browder fixed-point theorem are extended, and some existence theorems of solutions for the generalized vector equilibrium problems are established under noncompact setting, which improve and generalize some known results.

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Gusheng Tang. Qingbang Zhang. "Class 𝔄-KKM(X,Y,Z), General KKM Type Theorems, and Their Applications in Topological Vector Space." Abstr. Appl. Anal. 2014 (SI69) 1 - 10, 2014. https://doi.org/10.1155/2014/238191

Information

Published: 2014
First available in Project Euclid: 6 October 2014

MathSciNet: MR3208521
Digital Object Identifier: 10.1155/2014/238191

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI69 • 2014
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