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Generalized projection and approximation of fixed points of nonself maps

✍ Scribed by C.E. Chidume; M. Khumalo; H. Zegeye

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
169 KB
Volume
120
Category
Article
ISSN
0021-9045

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✦ Synopsis

Let K be a nonempty closed convex proper subset of a real uniformly convex and uniformly smooth Banach space E; T : K-E be an asymptotically weakly suppressive, asymptotically weakly contractive or asymptotically nonextensive map with F ðTÞ :¼ fxAK: Tx ¼ xga|: Using the notion of generalized projection, iterative methods for approximating fixed points of T are studied. Convergence theorems with estimates of convergence rates are proved. Furthermore, the stability of the methods with respect to perturbations of the operators and with respect to perturbations of the constraint sets are also established.

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