On the approximation of fixed points for locally pseudo-contractive mappings

Authors:
Claudio H. Morales and Simba A. Mutangadura

Journal:
Proc. Amer. Math. Soc. **123** (1995), 417-423

MSC:
Primary 47H09; Secondary 47H06, 47H10, 47H17

MathSciNet review:
1216820

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Abstract: Let *X* and its dual be uniformly convex Banach spaces, *D* an open and bounded subset of *X*, *T* a continuous and pseudo-contractive mapping defined on and taking values in *X*. If *T* satisfies the following condition: there exists such that for all *x* on the boundary of *D*, then the trajectory , defined by is continuous and converges strongly to a fixed point of *T* as .

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Additional Information

DOI:
http://dx.doi.org/10.1090/S0002-9939-1995-1216820-8

Keywords:
Pseudo-contractive mappings,
uniform convexity

Article copyright:
© Copyright 1995
American Mathematical Society