Approximating fixed points of total asymptotically nonexpansive mappings

By Y. Alber, Charles E. Chidume, Habz Zegeye. 2006

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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.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Numerical Analysis

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