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On solutions of generalized complementarity and eigenvector problems
Authors:Jinlu Li  Sehie Park
Affiliation:1. Department of Mathematical Sciences, Shawnee State University, Portsmouth, OH 45662, USA;2. National Academy of Sciences, Republic of Korea, and School of Mathematical Sciences, Seoul National University, Seoul 151-747, Republic of Korea
Abstract:From a new Fan–Browder type fixed point theorem due to the second author, we deduce an existence theorem for a solution of an equilibrium problem in Section 3. This theorem is applied to generalized complementarity problems in Section 4 and to eigenvector problems in Section 5.
Keywords:KKM mappings   Fixed point   Equilibrium problem   Generalized complementarity problem   Eigenvector problem
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