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Mixed equilibrium problems and optimization problems |
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| Authors: | Yonghong Yao M Aslam Noor S Zainab |
| Institution: | a Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China b Mathematics Department, COMSATS Institute of Information Technology, Islamabad, Pakistan c Department of Information Management, Cheng Shiu University, Kaohsiung 833, Taiwan |
| Abstract: | In this paper, we introduce and analyze a new hybrid iterative algorithm for finding a common element of the set of solutions of mixed equilibrium problems and the set of fixed points of an infinite family of nonexpansive mappings. Furthermore, we prove some strong convergence theorems for the hybrid iterative algorithm under some mild conditions. We also discuss some special cases. Results obtained in this paper improve the previously known results in this area. |
| Keywords: | Mixed equilibrium problem Optimization problem Hybrid iterative scheme Fixed point Nonexpansive mapping |
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