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Weak Convergence Theorems for Nonself Mappings 被引量:1
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作者 LIU YONG-QUAN GUO WEI-PING Ji You-qing 《Communications in Mathematical Research》 CSCD 2015年第1期15-22,共8页
Let E be a real uniformly convex and smooth Banach space, and K be a nonempty closed convex subset of E with P as a sunny nonexpansive retraction. Let T1, T2 : K → E be two weakly inward nonself asymptotically nonex... Let E be a real uniformly convex and smooth Banach space, and K be a nonempty closed convex subset of E with P as a sunny nonexpansive retraction. Let T1, T2 : K → E be two weakly inward nonself asymptotically nonexpansive mappings with respect to P with a sequence {kn^(i)} [1, ∞) (i = 1, 2), and F := F(T1)∩ F(T2) ≠ 0. An iterative sequence for approximation common fixed points of the two nonself asymptotically nonexpansive mappings is discussed. If E has also a Frechet differentiable norm or its dual E^* has Kadec-Klee property, then weak convergence theorems are obtained. 展开更多
关键词 asymptotically nonexpansive nonself-mapping weak formly convex Banach space common fixed point smooth Banach convergence urnspace
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