Fixed Point Theory and Applications (Jan 2006)

Approximating fixed points of total asymptotically nonexpansive mappings

  • Chidume CE,
  • Zegeye H,
  • Alber YaI

Journal volume & issue
Vol. 2006, no. 1
p. 10673

Abstract

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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.