Approximating common fixed points of families of quasi-nonexpansive mappings

M. K. Ghosh and Lokenath Debnath

International Journal of Mathematics and Mathematical Sciences, 1995, vol. 18, 1-6

Abstract:

This paper deals with a family of quasi-nonexpansive mappings in a uniformly convex Banach space, and the convergence of iterates generated by this family. A fixed point theorem for two quasi-nonexpansive mappings is then proved. This theorem is then extended for a finite family of quasinonexpansive mappings. It is shown that Ishikawa's [1] result follows as special cases of results proved in this paper.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:657658

DOI: 10.1155/S0161171295000354

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