International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 2, Pages 287-292
doi:10.1155/S0161171295000354
Approximating common fixed points of families of quasi-nonexpansive mappings
M.K. Ghosh1
and Lokenath Debnath2
1Department of Mathematics, Narajole Raj College, Midnapur, W B., India
2Department of Mathematics, University of Central Florida, Orlando 32816, Florida, USA
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.