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Approximating fixed points for nonexpansive mappings and generalized mixed equilibrium problems in Banach spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 7، دوره 3، شماره 2، بهمن 2012، صفحه 49-58 اصل مقاله (376.52 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2012.43 | ||
| نویسندگان | ||
| P. Cholamjiak؛ S. Suantai* | ||
| Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand | ||
| تاریخ دریافت: 25 بهمن 1389، تاریخ بازنگری: 19 اردیبهشت 1391، تاریخ پذیرش: 09 اردیبهشت 1391 | ||
| چکیده | ||
| We introduce a new iterative scheme for finding a common element of the solutions set of a generalized mixed equilibrium problem and the fixed points set of an infinitely countable family of nonexpansive mappings in a Banach space setting. Strong convergence theorems of the proposed iterative scheme are also established by the generalized projection method. Our results generalize the corresponding results in the literature. | ||
| کلیدواژهها | ||
| Generalized mixed equilibrium problem؛ nonexpansive mappings؛ Common fixed point؛ strong convergence؛ Generalized projection | ||
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