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Zbl 1167.47042
Shahzad, Naseer
Invariant approximations in CAT(0) spaces. (English)
[J] Nonlinear Anal., Theory Methods Appl. 70, No. 12, A, 4338-4340 (2009). ISSN 0362-546X

Summary: Some common fixed point and invariant approximation results for CAT(0) spaces are obtained. Our results improve and extend some results of {\it N.\,Shahzad} and {\it J.\,Markin} [J.~Math.\ Anal.\ Appl.\ 337, No.\,2, 1457--1464 (2008; Zbl 1137.47043)] and of {\it S.\,Dhompongsa, A.\,Kaewkhao} and {\it B.\,Panyanak} [J.~Math.\ Anal.\ Appl.\ 312, No.\,2, 478--487 (2005; Zbl 1086.47019)].

MSC 2000:: *47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
41A65 Abstract approximation theory
54H25 Fixed-point theorems in topological spaces
58C30 Fixed point theorems on manifolds
47H09 Mappings defined by "shrinking" properties

Keywords: invariant approximation; nonexpansive mapping; CAT(0) space

Citations: Zbl 1137.47043; Zbl 1086.47019

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