Existence of Equilibria for Multivalued Mappings and Its Application to Vectorial Equilibria

L. J. Lin, Z. T. Yu and G. Kassay
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L. J. Lin: National Changhua University of Education
Z. T. Yu: Nan-Kai College
G. Kassay: Babes-Bolyai University

Journal of Optimization Theory and Applications, 2002, vol. 114, issue 1, No 8, 189-208

Abstract: Abstract In this paper, we apply a new fixed-point theorem and use various monotonicity and some coercivity conditions to establish equilibrium theorems for multimaps. As a simple consequence, we give a unified approach to vectorial equilibria for multimaps. We show that, from our results, some well-known classical results, such as the Ky Fan minimax inequality theorem and the Browder and Hartman-Stampacchia theorems concerning the existence for variational inequalities, can be derived easily.

Keywords: transfer open multimap; vectorial equilibria; Cx-quasiconvex-like mapping; G-convex space; upper semicontinuity; minimax inequalities (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (8)

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DOI: 10.1023/A:1015420322818

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