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Strong Convergence of Averaged Approximants for Lipschitz Pseudocontractive Maps

✍ Scribed by Chika Moore; B.V.C Nnoli

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
92 KB
Volume
260
Category
Article
ISSN
0022-247X

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✦ Synopsis

Let T be a Lipschitzian pseudocontractive self-mapping of a closed convex and bounded subset K of a Banach space E which is both uniformly convex and Ž . q-uniformly smooth such that the set F T of fixed points of T is nonempty. Then Ž . F T is a sunny nonexpansive retract of K. If U is the sunny nonexpansive Ž . Ä 4 ϱ retraction of K onto F T , is any point of K, and a a real sequence in n ns0

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