WEAK CONVERGENCE THEOREM FOR NEW NONEXPANSIVE MAPPINGS IN BANACH SPACES AND ITS APPLICATIONS
WEAK CONVERGENCE THEOREM FOR NEW NONEXPANSIVE MAPPINGS IN BANACH SPACES AND ITS APPLICATIONS
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DOI:
10.11650/twjm/1500404766
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发表时间:
2007-01
影响因子:
0.4
通讯作者:
Takanori Ibaraki;W. Takahashi
中科院分区:
文献类型:
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作者:
Takanori Ibaraki;W. Takahashi
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.