Geometric properties and coincidence theorems with applications to generalized vector equilibrium problems

L. J. Lin; Q. H. Ansari; J. Y. Wu

doi:10.1023/A:1023656507786

Geometric properties and coincidence theorems with applications to generalized vector equilibrium problems

L. J. Lin, Q. H. Ansari, J. Y. Wu

Research output: Contribution to journal › Article › peer-review

52 Scopus citations

Abstract

The present paper is divided into two parts. In the first part, we derive a Fan-KKM type theorem and establish some Fan type geometric properties of convex spaces. By applying our results, we also obtain some coincidence theorems and fixed-point theorems in the setting of convex spaces. The second part deals with the applications of our coincidence theorem to establish some existence results for a solution to the generalized vector equilibrium problems.

Original language	English
Pages (from-to)	121-137
Number of pages	17
Journal	Journal of Optimization Theory and Applications
Volume	117
Issue number	1
DOIs	https://doi.org/10.1023/A:1023656507786
State	Published - Jun 2003
Externally published	Yes

Keywords

coincidence theorems
Fan-KKM type theorem
fixed-point theorems
generalized vector equilibrium problems
maximal pseudomonotone maps

ASJC Scopus subject areas

Management Science and Operations Research
Control and Optimization
Applied Mathematics

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10.1023/A:1023656507786

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abstract = "The present paper is divided into two parts. In the first part, we derive a Fan-KKM type theorem and establish some Fan type geometric properties of convex spaces. By applying our results, we also obtain some coincidence theorems and fixed-point theorems in the setting of convex spaces. The second part deals with the applications of our coincidence theorem to establish some existence results for a solution to the generalized vector equilibrium problems.",

keywords = "coincidence theorems, Fan-KKM type theorem, fixed-point theorems, generalized vector equilibrium problems, maximal pseudomonotone maps",

author = "Lin, \{L. J.\} and Ansari, \{Q. H.\} and Wu, \{J. Y.\}",

year = "2003",

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AU - Lin, L. J.

AU - Ansari, Q. H.

AU - Wu, J. Y.

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N2 - The present paper is divided into two parts. In the first part, we derive a Fan-KKM type theorem and establish some Fan type geometric properties of convex spaces. By applying our results, we also obtain some coincidence theorems and fixed-point theorems in the setting of convex spaces. The second part deals with the applications of our coincidence theorem to establish some existence results for a solution to the generalized vector equilibrium problems.

AB - The present paper is divided into two parts. In the first part, we derive a Fan-KKM type theorem and establish some Fan type geometric properties of convex spaces. By applying our results, we also obtain some coincidence theorems and fixed-point theorems in the setting of convex spaces. The second part deals with the applications of our coincidence theorem to establish some existence results for a solution to the generalized vector equilibrium problems.

KW - coincidence theorems

KW - Fan-KKM type theorem

KW - fixed-point theorems

KW - generalized vector equilibrium problems

KW - maximal pseudomonotone maps

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U2 - 10.1023/A:1023656507786

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JO - Journal of Optimization Theory and Applications

JF - Journal of Optimization Theory and Applications

IS - 1

ER -

Geometric properties and coincidence theorems with applications to generalized vector equilibrium problems

Abstract

Keywords

ASJC Scopus subject areas

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