Ishikawa type algorithm of two multi-valued quasi-nonexpansive maps on nonlinear domains

Hafiz Fukhar-Ud-Din; Abdul Rahim Khan; M. Ubaid-Ur-Rehman

doi:10.15352/afa/1399899528

Ishikawa type algorithm of two multi-valued quasi-nonexpansive maps on nonlinear domains

Hafiz Fukhar-Ud-Din, Abdul Rahim Khan^*, M. Ubaid-Ur-Rehman

^*Corresponding author for this work

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

5 Scopus citations

Abstract

We study an Ishikawa type algorithm for two multi-valued quasi-nonexpansive maps on a special class of nonlinear spaces namely hyperbolic metric spaces; in particular, strong and Δ–convergence theorems for the proposed algorithms are established in a uniformly convex hyperbolic space which improve and extend the corresponding known results in uniformly convex Banach spaces. Our new results are also valid in geodesic spaces.

Original language	English
Pages (from-to)	97-109
Number of pages	13
Journal	Annals of Functional Analysis
Volume	4
Issue number	2
DOIs	https://doi.org/10.15352/afa/1399899528
State	Published - 2013

Keywords

Asymptotic centre
Common fixed point
Convergence
Hyperbolic space
Multi-valued map

ASJC Scopus subject areas

Analysis
Anatomy
Algebra and Number Theory

Access to Document

10.15352/afa/1399899528

Cite this

@article{dac4c59c593649658d5f66ae17eacb08,

title = "Ishikawa type algorithm of two multi-valued quasi-nonexpansive maps on nonlinear domains",

abstract = "We study an Ishikawa type algorithm for two multi-valued quasi-nonexpansive maps on a special class of nonlinear spaces namely hyperbolic metric spaces; in particular, strong and Δ–convergence theorems for the proposed algorithms are established in a uniformly convex hyperbolic space which improve and extend the corresponding known results in uniformly convex Banach spaces. Our new results are also valid in geodesic spaces.",

keywords = "Asymptotic centre, Common fixed point, Convergence, Hyperbolic space, Multi-valued map",

author = "Hafiz Fukhar-Ud-Din and Khan, \{Abdul Rahim\} and M. Ubaid-Ur-Rehman",

year = "2013",

doi = "10.15352/afa/1399899528",

language = "English",

volume = "4",

pages = "97--109",

journal = "Annals of Functional Analysis",

issn = "2008-8752",

publisher = "Tusi Mathematical Research Group (TMRG)",

number = "2",

}

TY - JOUR

T1 - Ishikawa type algorithm of two multi-valued quasi-nonexpansive maps on nonlinear domains

AU - Fukhar-Ud-Din, Hafiz

AU - Khan, Abdul Rahim

AU - Ubaid-Ur-Rehman, M.

PY - 2013

Y1 - 2013

N2 - We study an Ishikawa type algorithm for two multi-valued quasi-nonexpansive maps on a special class of nonlinear spaces namely hyperbolic metric spaces; in particular, strong and Δ–convergence theorems for the proposed algorithms are established in a uniformly convex hyperbolic space which improve and extend the corresponding known results in uniformly convex Banach spaces. Our new results are also valid in geodesic spaces.

AB - We study an Ishikawa type algorithm for two multi-valued quasi-nonexpansive maps on a special class of nonlinear spaces namely hyperbolic metric spaces; in particular, strong and Δ–convergence theorems for the proposed algorithms are established in a uniformly convex hyperbolic space which improve and extend the corresponding known results in uniformly convex Banach spaces. Our new results are also valid in geodesic spaces.

KW - Asymptotic centre

KW - Common fixed point

KW - Convergence

KW - Hyperbolic space

KW - Multi-valued map

UR - https://www.scopus.com/pages/publications/84894523637

U2 - 10.15352/afa/1399899528

DO - 10.15352/afa/1399899528

M3 - Article

AN - SCOPUS:84894523637

SN - 2008-8752

VL - 4

SP - 97

EP - 109

JO - Annals of Functional Analysis

JF - Annals of Functional Analysis

IS - 2

ER -

Ishikawa type algorithm of two multi-valued quasi-nonexpansive maps on nonlinear domains

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this