Open Access
March 2013 Fixed point in CAT(0) spaces
Mujahid Abbas, Ismat Beg
Funct. Approx. Comment. Math. 48(1): 51-59 (March 2013). DOI: 10.7169/facm/2013.48.1.5

Abstract

We obtained sufficient conditions for existence of fixed points of involutions in CAT$(0)$ spaces. Convergence results of Mann and Ishikawa iterates of weakly contractive mappings are also proved.

Citation

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Mujahid Abbas. Ismat Beg. "Fixed point in CAT(0) spaces." Funct. Approx. Comment. Math. 48 (1) 51 - 59, March 2013. https://doi.org/10.7169/facm/2013.48.1.5

Information

Published: March 2013
First available in Project Euclid: 25 March 2013

zbMATH: 1263.54047
MathSciNet: MR3086960
Digital Object Identifier: 10.7169/facm/2013.48.1.5

Subjects:
Primary: 47H09
Secondary: 47H10 , 54H25

Keywords: fixed point , involution , Lipschitzian mapping , weakly contractive mappings

Rights: Copyright © 2013 Adam Mickiewicz University

Vol.48 • No. 1 • March 2013
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