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Dotson’s convexity, Banach operator pair and weak contractions
by F. Akbar   N. Sultana

Vol. 6 No. 1 (2011) P.85~P.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.

KEYWORDS
Common fixed point, Banach operator pair, Dotson\'s convexity, $f$-weak contractions, best approximation

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 47H10, 54H25

MILESTONES