Approximating fixed points of total asymptotically nonexpansive mappings

Ya I. Alber, C. E. Chidume, H. Zegeye

Research output: Contribution to journalArticle

65 Citations (Scopus)

Abstract

We introduce a new class of asymptotically nonexpansive mappings and study approximating methods for finding their fixed points. We deal with the Krasnosel'skii-Mann-type iterative process. The strong and weak convergence results for self-mappings in normed spaces are presented. We also consider the asymptotically weakly contractive mappings.

Original languageEnglish
Article number10673
JournalFixed Point Theory and Applications
Volume2006
DOIs
Publication statusPublished - Apr 17 2006

Fingerprint

Asymptotically Nonexpansive Mapping
Contractive Mapping
Normed Space
Iterative Process
Convergence Results
Fixed point
Class

All Science Journal Classification (ASJC) codes

  • Geometry and Topology
  • Applied Mathematics

Cite this

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abstract = "We introduce a new class of asymptotically nonexpansive mappings and study approximating methods for finding their fixed points. We deal with the Krasnosel'skii-Mann-type iterative process. The strong and weak convergence results for self-mappings in normed spaces are presented. We also consider the asymptotically weakly contractive mappings.",
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Approximating fixed points of total asymptotically nonexpansive mappings. / Alber, Ya I.; Chidume, C. E.; Zegeye, H.

In: Fixed Point Theory and Applications, Vol. 2006, 10673, 17.04.2006.

Research output: Contribution to journalArticle

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