Fixed point variational solutions for uniformly continuous pseudocontractions in Banach spaces

Let E be a reflexive Banach space with a uniformly Gâteaux differentiable norm, let K be a nonempty closed convex subset of E, and let T:K→K be a uniformly continuous pseudocontraction. If f:K→K is any contraction map on K and if every nonempty closed convex and bounded subset of K has...

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Bibliographic Details
Main Author: Aniefiok Udomene
Format: Article
Language:English
Published: SpringerOpen 2006-03-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/FPTA/2006/69758