Approximating fixed points of total asymptotically nonexpansive mappings
H. Zegeye, C. E. Chidume, Ya. I. Alber
Fixed Point Theory and Applications · 2006
doi:10.1155/fpta/2006/10673 (opens in a new tab)
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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.
Abstract licence: CC BY
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