common fixed points of two nonexpansive mappings by a new one-step iteration process
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abstract
we introduce a new one-step iteration process to approximate common fixed points of twononexpansive 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 banachspaces and uniformly convex banach spaces under the so-called condition ( a ), which is weaker thancompactness.
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Journal title:
iranian journal of science and technology (sciences)ISSN 1028-6276
volume 33
issue 3 2009
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