Approximating fixed points of total asymptotically nonexpansive mappings

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

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67 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

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All Science Journal Classification (ASJC) codes

  • Geometry and Topology
  • Applied Mathematics

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