COMMON FIXED POINTS OF TWO NONEXPANSIVE MAPPINGSBY A NEW ONE-STEP ITERATION PROCESS

Author(s):

S. H. Khan , M. Abbas , A. R. Khan

Message:
Abstract:
We introduce a new one-step iteration process to approximate common fixed points of two nonexpansive mappings in Banach spaces and prove weak convergence of the iterative sequence using (i) Opial’s condition and (ii) Kadec-Klee property. Strong convergence theorems are also established in Banach spaces and uniformly convex Banach spaces under the so-called Condition (A'), which is weaker than compactness.
Language:
English
Published:
Iranian Journal of science and Technology (A: Siences), Volume:33 Issue: 3, Summer 2009
Page:
249
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