Iterative algorithm and Δ-convergence theorems for total asymptotically nonexpansive mappings in CAT(0) spaces

J. F. Tang; S. S. Chang; Heung Wing Joseph Lee; Chi Kin Chan

doi:10.1155/2012/965751

Iterative algorithm and Δ-convergence theorems for total asymptotically nonexpansive mappings in CAT(0) spaces

J. F. Tang, S. S. Chang, Heung Wing Joseph Lee, Chi Kin Chan

Research output: Journal article publication › Journal article › Academic research › peer-review

14 Citations (Scopus)

Abstract

The main purpose of this paper is first to introduce the concept of total asymptotically nonexpansive mappings and to prove a Δ-convergence theorem for finding a common fixed point of the total asymptotically nonexpansive mappings and the asymptotically nonexpansive mappings. The demiclosed principle for this kind of mappings in CAT(0) space is also proved in the paper. Our results extend and improve many results in the literature. F. Tang et al.

Original language	English
Article number	965751
Journal	Abstract and Applied Analysis
Volume	2012
DOIs	https://doi.org/10.1155/2012/965751
Publication status	Published - 8 Oct 2012

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1155/2012/965751

http://hdl.handle.net/10397/6450

Cite this

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AB - The main purpose of this paper is first to introduce the concept of total asymptotically nonexpansive mappings and to prove a Δ-convergence theorem for finding a common fixed point of the total asymptotically nonexpansive mappings and the asymptotically nonexpansive mappings. The demiclosed principle for this kind of mappings in CAT(0) space is also proved in the paper. Our results extend and improve many results in the literature. F. Tang et al.

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Iterative algorithm and Δ-convergence theorems for total asymptotically nonexpansive mappings in CAT(0) spaces

Abstract

ASJC Scopus subject areas

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