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Weak and strong convergence theorems for mixed equilibrium problems in Banach spaces |
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| Authors: | Siwaporn Saewan Yeol Je Cho Poom Kumam |
| Institution: | 1. Department of Mathematics and Statistics, Faculty of Science, Thaksin University (TSU), Pa Phayom, Phatthalung, 93110, Thailand 2. Department of Mathematics Education and RINS, Gyeongsang National University, Chinju, 660-701, Korea 3. Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangmod, Bangkok, 10140, Thailand |
| Abstract: | In this paper, we introduce a new iterative scheme for finding a common element of the set of solutions of the mixed equilibrium problems and the set of fixed points for a $\phi $ -nonexpansive mapping in Banach spaces by using sunny generalized nonexpansive retraction in Banach spaces. Moreover, we also apply our result for finding a zero point of maximal monotone operators. Finally, we give a numerical example to illustrate our main theorem. |
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