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Approximating Fixed Points of Nonexpansive Mappings by the Ishikawa Iteration Process

✍ Scribed by Tan, Kok Keong (author);Xu, Hong Kun (author)

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
236 KB
Volume
178
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES

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Γ„ 4 Γ„ 4 Γ„ 4 mapping. Given a sequence x in D and two real sequences t and s Γ„ 4 5 5 we prove that if x is bounded, then lim Tx y x s 0. The conditions on n n Βͺ Ο±n n D , X, and T are shown which guarantee the weak and strong convergence of the Ishikawa iteration process to a fixed point of T.

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Determining fixed points of nonexpansive mappings is a frequent problem in mathematics and physical sciences. An algorithm for finding common fixed points of nonexpansive mappings in Hilbert space, essentially due to Halpern, is analyzed. The main theorem extends Wittmann's recent work and partially