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2011 / March Volume 6 No.1
Dotson’s convexity, Banach operator pair and weak contractions
Published Date
2011 / March
Title
Dotson’s convexity, Banach operator pair and weak contractions
Author
F. Akbar, N. Sultana
Keyword
Common fixed point, Banach operator pair, Dotson´s convexity, f-weak contractions, best approximation, Common fixed point, Banach operator pair, Dotson\'s convexity, $f$-weak contractions, best approximation
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Pagination
85-95
Abstract
We extend the recent results of Hussain and Cho [Weak Contractions, Common Fixed Points, and Invariant Approximations, Journal of Inequalities and Applications, vol. 2009, Article ID 390634, 10 pages, 2009] to the Banach pair $(T,f)$ where set of fixed points of $f$ satisfies Dotson's convexity condition which is more general than the starshapedness.
AMS Subject
Classification
47H10, 54H25
Received
2010-06-01
Accepted
2010-06-01
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