Fixed point iterations of asymptotically demicontractive and asymptotically hemicontractive mappings in hyperbolic spaces

Hafiz Fukhar-Ud-Din; Safeer H Khan

doi:10.1142/S1793557121501540

Fixed point iterations of asymptotically demicontractive and asymptotically hemicontractive mappings in hyperbolic spaces

Hafiz Fukhar-Ud-Din
, Safeer H Khan

Mathematics and Statistics

Islamia University
Department of Mathematics, Statistics and Physics, College of Arts and Sciences, Qatar University

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

1 Scopus citations

Abstract

In this paper, we obtain strong convergence results for asymptotically demicontractive and asymptotically hemicontractive mappings in hyperbolic spaces. We present our results in hyperbolic spaces. This class of spaces contains both linear and nonlinear spaces like CAT(0) spaces, -trees, Banach spaces and Hilbert spaces. Thus our results are not only novel but also much more general.

Original language	English
Article number	2150154
Journal	Asian-European Journal of Mathematics
Volume	14
Issue number	9
DOIs	https://doi.org/10.1142/S1793557121501540
State	Published - Sep 1 2021

Keywords

asymptotically demicontractive mapping
asymptotically hemicontractive mapping
convergence
fixed point
Hyperbolic space
iterative sequence

Access to Document

10.1142/S1793557121501540

Cite this

@article{f26a936f199b49748ee51033c003a49f,

title = "Fixed point iterations of asymptotically demicontractive and asymptotically hemicontractive mappings in hyperbolic spaces",

abstract = "In this paper, we obtain strong convergence results for asymptotically demicontractive and asymptotically hemicontractive mappings in hyperbolic spaces. We present our results in hyperbolic spaces. This class of spaces contains both linear and nonlinear spaces like CAT(0) spaces, -trees, Banach spaces and Hilbert spaces. Thus our results are not only novel but also much more general.",

keywords = "asymptotically demicontractive mapping, asymptotically hemicontractive mapping, convergence, fixed point, Hyperbolic space, iterative sequence",

author = "Hafiz Fukhar-Ud-Din and Khan, \{Safeer H\}",

year = "2021",

month = sep,

day = "1",

doi = "10.1142/S1793557121501540",

language = "English",

volume = "14",

journal = "Asian-European Journal of Mathematics",

issn = "1793-5571",

publisher = "World Scientific",

number = "9",

}

TY - JOUR

T1 - Fixed point iterations of asymptotically demicontractive and asymptotically hemicontractive mappings in hyperbolic spaces

AU - Fukhar-Ud-Din, Hafiz

AU - Khan, Safeer H

PY - 2021/9/1

Y1 - 2021/9/1

N2 - In this paper, we obtain strong convergence results for asymptotically demicontractive and asymptotically hemicontractive mappings in hyperbolic spaces. We present our results in hyperbolic spaces. This class of spaces contains both linear and nonlinear spaces like CAT(0) spaces, -trees, Banach spaces and Hilbert spaces. Thus our results are not only novel but also much more general.

AB - In this paper, we obtain strong convergence results for asymptotically demicontractive and asymptotically hemicontractive mappings in hyperbolic spaces. We present our results in hyperbolic spaces. This class of spaces contains both linear and nonlinear spaces like CAT(0) spaces, -trees, Banach spaces and Hilbert spaces. Thus our results are not only novel but also much more general.

KW - asymptotically demicontractive mapping

KW - asymptotically hemicontractive mapping

KW - convergence

KW - fixed point

KW - Hyperbolic space

KW - iterative sequence

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85099127545&origin=inward

UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=85099127545&origin=inward

U2 - 10.1142/S1793557121501540

DO - 10.1142/S1793557121501540

M3 - Article

SN - 1793-5571

VL - 14

JO - Asian-European Journal of Mathematics

JF - Asian-European Journal of Mathematics

IS - 9

M1 - 2150154

ER -

Fixed point iterations of asymptotically demicontractive and asymptotically hemicontractive mappings in hyperbolic spaces

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this