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Convergence of paths for pseudo-contractive mappings in Banach spaces |
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| Authors: | Claudio H. Morales Jong Soo Jung |
| Affiliation: | Department of Mathematics, University of Alabama, Huntsville, Alabama 35899 ; Department of Mathematics, Dong-A University, Pusan 604-714, Korea |
| Abstract: | Let |
| Keywords: | Pseudo-contractive mappings, uniformly Gâ teaux differentiable norm. |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
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be a real Banach space, let 
be a closed convex subset of 
, and let 
, from 
into 
, be a pseudo-contractive mapping (i.e. 
for all 
and 
. Suppose the space 
has a uniformly Gâteaux differentiable norm, such that every closed bounded convex subset of 
enjoys the Fixed Point Property for nonexpansive self-mappings. Then the path 
, 
, defined by the equation 
is continuous and strongly converges to a fixed point of 
as 
, provided that 
satisfies the weakly inward condition.