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

S. S. Chang; L. Wang; Heung Wing Joseph Lee; Chi Kin Chan; L. Yang

doi:10.1016/j.amc.2012.08.095

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

S. S. Chang, L. Wang, Heung Wing Joseph Lee, Chi Kin Chan, L. Yang

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

70 Citations (Scopus)

Abstract

The purpose of this paper is to introduce the concept of total asymptotically nonexpansive mappings and to prove the demiclosed principle for this kind of mappings in CAT(0) spaces. As a consequence, we obtain a Δ-convergence theorem of the Krasnoselskii-Mann type iteration for total asymptotically nonexpansive mappings in this setting. Our results extend and improve the corresponding recent results announced by many authors.

Original language	English
Pages (from-to)	2611-2617
Number of pages	7
Journal	Applied Mathematics and Computation
Volume	219
Issue number	5
DOIs	https://doi.org/10.1016/j.amc.2012.08.095
Publication status	Published - 15 Nov 2012

Keywords

Δ-Convergence
CAT(0) space
Demiclosed principle
Krasnoselskii-Mann type iteration
Total asymptotically nonexpansive mappings

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

More information

10.1016/j.amc.2012.08.095

Cite this

@article{290e0ad8ee3d4d63bac2c93fc1b1f0b3,

title = "Demiclosed principle and Δ-convergence theorems for total asymptotically nonexpansive mappings in CAT(0) spaces",

abstract = "The purpose of this paper is to introduce the concept of total asymptotically nonexpansive mappings and to prove the demiclosed principle for this kind of mappings in CAT(0) spaces. As a consequence, we obtain a Δ-convergence theorem of the Krasnoselskii-Mann type iteration for total asymptotically nonexpansive mappings in this setting. Our results extend and improve the corresponding recent results announced by many authors.",

keywords = "Δ-Convergence, CAT(0) space, Demiclosed principle, Krasnoselskii-Mann type iteration, Total asymptotically nonexpansive mappings",

author = "Chang, {S. S.} and L. Wang and Lee, {Heung Wing Joseph} and Chan, {Chi Kin} and L. Yang",

year = "2012",

month = nov,

day = "15",

doi = "10.1016/j.amc.2012.08.095",

language = "English",

volume = "219",

pages = "2611--2617",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

publisher = "Elsevier Inc.",

number = "5",

}

TY - JOUR

T1 - Demiclosed principle and Δ-convergence theorems for total asymptotically nonexpansive mappings in CAT(0) spaces

AU - Chang, S. S.

AU - Wang, L.

AU - Lee, Heung Wing Joseph

AU - Chan, Chi Kin

AU - Yang, L.

PY - 2012/11/15

Y1 - 2012/11/15

N2 - The purpose of this paper is to introduce the concept of total asymptotically nonexpansive mappings and to prove the demiclosed principle for this kind of mappings in CAT(0) spaces. As a consequence, we obtain a Δ-convergence theorem of the Krasnoselskii-Mann type iteration for total asymptotically nonexpansive mappings in this setting. Our results extend and improve the corresponding recent results announced by many authors.

AB - The purpose of this paper is to introduce the concept of total asymptotically nonexpansive mappings and to prove the demiclosed principle for this kind of mappings in CAT(0) spaces. As a consequence, we obtain a Δ-convergence theorem of the Krasnoselskii-Mann type iteration for total asymptotically nonexpansive mappings in this setting. Our results extend and improve the corresponding recent results announced by many authors.

KW - Δ-Convergence

KW - CAT(0) space

KW - Demiclosed principle

KW - Krasnoselskii-Mann type iteration

KW - Total asymptotically nonexpansive mappings

UR - http://www.scopus.com/inward/record.url?scp=84868208744&partnerID=8YFLogxK

U2 - 10.1016/j.amc.2012.08.095

DO - 10.1016/j.amc.2012.08.095

M3 - Journal article

SN - 0096-3003

VL - 219

SP - 2611

EP - 2617

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 5

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

More information

Other files and links

Fingerprint

Cite this