Dotson′s convexity, Banach operator pair and best simultaneous approximations
نویسندگان
چکیده
The existence of common fixed points is established for three mappings where T is either generalized (f, g)-nonexpansive or asymptotically (f, g)-nonexpansive on a set of fixed points which is not necessarily starshaped. As applications, the invariant best simultaneous approximation results are proved. AMS subject classifications: 47H10, 54H25
منابع مشابه
Dotson’s Convexity, Banach Operator Pair and Weak Contractions
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.
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