Approximating common endpoints of multivalued generalized nonexpansive mappings in hyperbolic spaces

作者：

Highlights：

• This paper states some sufficient conditions for the existence of endpoints for some multivalued generalized nonexpansive mappings.

• Convergence analysis of a new modified algorithm for approximating common endpoints of two generalized nonexpansive mappings in uniformly convex hyperbolic spaces is studied.

• Some numerical examples are given to substantiate the common endpoint results.

摘要

•This paper states some sufficient conditions for the existence of endpoints for some multivalued generalized nonexpansive mappings.•Convergence analysis of a new modified algorithm for approximating common endpoints of two generalized nonexpansive mappings in uniformly convex hyperbolic spaces is studied.•Some numerical examples are given to substantiate the common endpoint results.

论文关键词：α-nonexpansive,Condition (E′),Common endpoint,Strong convergence,△-convergence,Multivalued mappings,Hyperbolic space

论文评审过程：Received 5 April 2020, Revised 29 June 2020, Accepted 20 September 2020, Available online 21 October 2020, Version of Record 21 October 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125699