Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2019; 34(1): 253-265

Online first article January 22, 2019      Printed January 31, 2019

https://doi.org/10.4134/CKMS.c180093

Copyright © The Korean Mathematical Society.

Some convergence results for generalized nonexpansive mappings in CAT(0) spaces

Chanchal Garodia, Izhar Uddin

Jamia Millia Islamia; Jamia Millia Islamia

Abstract

The aim of this paper is to study convergence behaviour of Thakur iteration scheme in CAT(0) spaces for generalized nonexpansive mappings. In process, several relevant results of the existing literature are generalized and improved.

Keywords: CAT(0) space, fixed point, $\Delta$-convergence and nonexpansive mapping

MSC numbers: 54H25, 47H10