Approximating fixed points for nonexpansive mappings and generalized mixed equilibrium problems in Banach spaces

	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، 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
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
آمار تعداد مشاهده مقاله: 52,527 تعداد دریافت فایل اصل مقاله: 58,311

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