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Algorithms of common solutions for variational inclusions, mixed equilibrium problems and fixed point problems |
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| Authors: | Yonghong Yao Yeong-Cheng Liou |
| Affiliation: | a Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China b Department of Mathematics Education and the RINS, Gyeongsang National University, Chinju 660-701, Republic of Korea c Department of Information Management, Cheng Shiu University, Kaohsiung 833, Taiwan |
| Abstract: | In this paper, we present an iterative algorithm for finding a common element of the set of solutions of a mixed equilibrium problem and the set of fixed points of an infinite family of nonexpansive mappings and the set of a variational inclusion in a real Hilbert space. Furthermore, we prove that the proposed iterative algorithm has strong convergence under some mild conditions imposed on algorithm parameters. |
| Keywords: | Equilibrium problem Fixed point Nonexpansive mapping Variational inclusion |
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