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Invariant approximations in CAT(0) spaces

โœ Scribed by Naseer Shahzad


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
283 KB
Volume
70
Category
Article
ISSN
0362-546X

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โœฆ Synopsis


Some common fixed point and invariant approximation results for CAT(0) spaces are obtained. Our results improve and extend some results of Shahzad and Markin [N. Shahzad, J. Markin, Invariant approximation for commuting mappings in hyperconvex and CAT(0) spaces,


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Let X be a complete CAT(0) space, T be a generalized multivalued nonexpansive mapping, and t be a single valued quasi-nonexpansive mapping. Under the assumption that T and t commute weakly, we shall prove the existence of a common fixed point for them. In this way, we extend and improve a number of