Abstract
A new nonexpansive mapping in a Banach space which is called generalized nonexpansive was introduced by the authors [4]. In this paper, we prove a weak convergence theorem for finding a fixed point of a generalized nonexpansive mapping in a Banach space. Moreover, using this result, we consider a proximal-type algorithm and the feasibility problem.
Citation
Takanori Ibaraki. Wataru Takahashi. "WEAK CONVERGENCE THEOREM FOR NEW NONEXPANSIVE MAPPINGS IN BANACH SPACES AND ITS APPLICATIONS." Taiwanese J. Math. 11 (3) 929 - 944, 2007. https://doi.org/10.11650/twjm/1500404766
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