Geometric Properties and Coincidence Theorems with Applications to Generalized Vector Equilibrium Problems

L.J. Lin, Q.H. Ansari and J.Y. Wu
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L.J. Lin: National Changhua University of Education
Q.H. Ansari: Aligarh Muslim University
J.Y. Wu: National Changhua University of Education

Journal of Optimization Theory and Applications, 2003, vol. 117, issue 1, No 7, 137 pages

Abstract: 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: Fan-KKM type theorem; coincidence theorems; fixed-point theorems; generalized vector equilibrium problems; maximal pseudomonotone maps (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (9)

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DOI: 10.1023/A:1023656507786

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