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Title: On Multistep Iterative Scheme for Approximating the Common Fixed Points of Contractive-Like Operators
Authors: Akewe, H
Olaleru, J.O
Keywords: Iteration process
Fixed point
Banach space
Issue Date: Jan-2010
Publisher: Hindawi Publishing Corporation
Citation: International Journal of Mathematics and Mathematical Sciences (2010), 1-11
Abstract: We introduce the Jungck-multistep iteration and show that it converges strongly to the unique common fixed point of a pair of weakly compatible generalized contractive-like operators defined on a Banach space. As corollaries, the results show that the Jungck-Mann, Jungck-Ishikawa, and Jungck-Noor iterations can also be used to approximate the common fixed points of such maps. The results are improvements, generalizations, and extensions of the work of Olatinwo and Imoru (2008), Olatinwo (2008). Consequently, several results in literature are generalized.
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