Generalized monotone bifunctions and equilibrium problems |
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| Authors: | M Bianchi S Schaible |
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| Institution: | (1) Insitute of Econometrics and Mathematics for Economic Decisions, Universitá Cattolica, Milan, Italy;(2) Graduate School of Management, University of Californaia, Riverside, California |
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| Abstract: | Using quasimonotone and pseudomonotone bifunctions, we derive existence results for the following equilibrium problem: given a closed and convex subsetK of a real topological vector space, find
such that
for ally K. In addtion, we study the solution set and the uniquencess of a solution. The paper generalizes results obtained recently for variational inequalities. |
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| Keywords: | Generalized monotonicity equilibrium problems variational inequality problems existence of solutions uniqueness |
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