[Retracted] On Multistep Iterative Scheme for Approximating the Common Fixed Points of Contractive‐Like Operators | Zendy

J. O. Olaleru | Zendy; Hudson Akewe | Zendy

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[Retracted] On Multistep Iterative Scheme for Approximating the Common Fixed Points of Contractive‐Like Operators

Author(s) -

J. O. Olaleru,

Hudson Akewe

Publication year - 2010

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2010/530964

Subject(s) - mathematics , fixed point , banach space , scheme (mathematics) , fixed point iteration , space (punctuation) , pure mathematics , discrete mathematics , mathematical analysis , computer science , operating system

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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