General modified viscosity implicit rules for generalized asymptotically nonexpansive mappings in complete CAT(0) $\operatorname{CAT}(0)$ spaces

General modified viscosity implicit rules for generalized asymptotically nonexpansive mappings in complete CAT(0) $\operatorname{CAT}(0)$ spaces

Abstract It is well known that the concept (generalized) asymptotically nonexpansive is closely related to the theory of fixed points in Banach spaces, and the implicit midpoint rule is one of the powerful numerical methods for solving differential equations. The purpose of this paper is to introduc...

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Bibliographic Details
Main Authors: Ting-jian Xiong, Heng-you Lan
Format: Article
Language:English
Published: SpringerOpen 2019-06-01
Series:Journal of Inequalities and Applications
Subjects:
General modified viscosity implicit rule
Fixed point
Strong convergence
Generalized asymptotically nonexpansive mapping
CAT ( 0 ) $\operatorname{CAT}(0)$ space
Online Access:http://link.springer.com/article/10.1186/s13660-019-2114-7

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http://link.springer.com/article/10.1186/s13660-019-2114-7

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