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