Mann iteration for monotone nonexpansive mappings in ordered CAT(0) space with an application to integral equations

Mann iteration for monotone nonexpansive mappings in ordered CAT(0) space with an application to integral equations

Abstract In this paper, we establish some convergence results for a monotone nonexpansive mapping in a CAT(0) $\operatorname{CAT}(0)$ space. We prove the Δ- and strong convergence of the Mann iteration scheme. Further, we provide a numerical example to illustrate the convergence of our iteration sch...

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Bibliographic Details
Main Authors: Izhar Uddin, Chanchal Garodia, Juan Jose Nieto
Format: Article
Language:English
Published: SpringerOpen 2018-12-01
Series:Journal of Inequalities and Applications
Subjects:
CAT ( 0 ) $\operatorname{CAT}(0)$ space
Fixed point
Δ-convergence
Monotone nonexpansive mapping
Online Access:http://link.springer.com/article/10.1186/s13660-018-1925-2

Internet

http://link.springer.com/article/10.1186/s13660-018-1925-2

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