Asymptotically Pseudocontractions, Banach Operator Pairs and Best Simultaneous Approximations
نویسندگان
چکیده
The existence of common fixed points is established for the mappings where T is asymptotically f -pseudo-contraction on a nonempty subset of a Banach space. As applications, the invariant best simultaneous approximation and strong convergence results are proved. Presented results are generalizations of very recent fixed point and approximation theorems of Khan and Akbar 2009 , Chen and Li 2007 , Pathak and Hussain 2008 , and several others.
منابع مشابه
Dotson′s convexity, Banach operator pair and best simultaneous approximations
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
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