A New Iteration Process for Approximation of Common Fixed Points for Finite Families of Total Asymptotically Nonexpansive Mappings

C. E. Chidume and E. U. Ofoedu

International Journal of Mathematics and Mathematical Sciences, 2009, vol. 2009, 1-17

Abstract:

Let be a real Banach space, and a closed convex nonempty subset of . Let be total asymptotically nonexpansive mappings. A simple iterative sequence is constructed in and necessary and sufficient conditions for this sequence to converge to a common fixed point of are given. Furthermore, in the case that is a uniformly convex real Banach space, strong convergence of the sequence to a common fixed point of the family is proved. Our recursion formula is much simpler and much more applicable than those recently announced by several authors for the same problem.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:615107

DOI: 10.1155/2009/615107

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