Volume no :2, Issue no: 1, August (2009)

Journal of Pure and Applied Mathematics: Advances and Applications

COMMON FIXED-POINTS OF NONSELF I-QUASI-NONEXPANSIVE MAPPINGS FOR MULTI-STEP ITERATION IN BANACH SPACES

Author's: Jamnian Nantadilok
Pages: [87] - [95]
Received Date: August 15, 2009
Submitted by:

Abstract

Let E be a uniformly convex Banach space and K be a nonempty closed convex subset of E. Let be a nonself mapping. In this paper, we establish the weak convergence of a sequence of a modified multistep iteration of a nonself I-quasi-nonexpansive mapping in a Banach space which satisfies Opial’s condition.

Keywords

I-quasi-nonexpansive, nonself nonexpansive mapping, multistep iterations.