Abstract
In this paper, we study monotone hybrid method for finding a commonfixed point of a family of generalized nonexpansive mappings and then prove astrong convergence theorem for a family of generalized nonexpansive mappings inBanach spaces. Using this theorem, we obtain some new results for a generalizednonexpansive mapping and two generalized nonexpansive mappings in Banachspaces. Moreover, we apply our main result to obtain a strong convergence theoremfor a family of nonexpansive mappings in a Hilbert space.
Citation
Chakkrid Klin-eam. Suthep Suantai. Wataru Takahashi. "STRONG CONVERGENCE THEOREMS BY MONOTONE HYBRID METHOD FOR A FAMILY OF GENERALIZED NONEXPANSIVE MAPPINGS IN BANACH SPACES." Taiwanese J. Math. 16 (6) 1971 - 1989, 2012. https://doi.org/10.11650/twjm/1500406834
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