Approximating common fixed points of families of quasi-nonexpansive mappings

Autor: M. K. Ghosh, Lokenath Debnath
Jazyk: angličtina
Rok vydání: 1995
Předmět:
Zdroj: International Journal of Mathematics and Mathematical Sciences, Vol 18, Iss 2, Pp 287-292 (1995)
Druh dokumentu: article
ISSN: 0161-1712
1687-0425
01611712
DOI: 10.1155/S0161171295000354
Popis: 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.
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