Convergence Theorems for Non-Self Mappings in CAT(0) Spaces

Abebe R. Tufa; H. Zegeye; M. Thuto

doi:10.1080/01630563.2016.1261156

Convergence Theorems for Non-Self Mappings in CAT(0) Spaces

Abebe R. Tufa, H. Zegeye, M. Thuto

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

In this paper, we prove strong convergence of Mann iterative schemes to fixed points of multi-valued demicontractive non-self mappings in complete CAT(0) spaces under appropriate conditions. In addition, △− convergence or strong convergence of Mann iterative scheme to a fixed point of single-valued k-strictly pseudocontractive non-self mapping is obtained. Our theorems improve and unify most of the results in the literature.

Original language	English
Pages (from-to)	705-722
Number of pages	18
Journal	Numerical Functional Analysis and Optimization
Volume	38
Issue number	6
DOIs	https://doi.org/10.1080/01630563.2016.1261156
Publication status	Published - Jun 3 2017

All Science Journal Classification (ASJC) codes

Analysis
Signal Processing
Computer Science Applications
Control and Optimization

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10.1080/01630563.2016.1261156

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AB - In this paper, we prove strong convergence of Mann iterative schemes to fixed points of multi-valued demicontractive non-self mappings in complete CAT(0) spaces under appropriate conditions. In addition, △− convergence or strong convergence of Mann iterative scheme to a fixed point of single-valued k-strictly pseudocontractive non-self mapping is obtained. Our theorems improve and unify most of the results in the literature.

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Convergence Theorems for Non-Self Mappings in CAT(0) Spaces

Abstract

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