Approximating common endpoints of multivalued generalized nonexpansive mappings in hyperbolic spaces

Dolapo Muhammed Oyetunbi; Abdul Rahim Khan

doi:10.1016/j.amc.2020.125699

Approximating common endpoints of multivalued generalized nonexpansive mappings in hyperbolic spaces

Dolapo Muhammed Oyetunbi
, Abdul Rahim Khan^*

^*Corresponding author for this work

Department of Mathematics

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

5 Scopus citations

Abstract

In this paper, we introduce a new modified iteration process for approximating common endpoint of a multivalued α-nonexpansive mapping and a multivalued mapping satisfying condition (E′) in uniformly convex hyperbolic spaces. As a by-product, we improve the main results of Panyanak (2018) with a new and faster algorithm for two multivalued mappings. Moreover, we give a numerical example to substantiate our results. Our work is new and holds simultaneously in uniformly convex Banach spaces as well as CAT(0) spaces.

Original language	English
Article number	125699
Journal	Applied Mathematics and Computation
Volume	392
DOIs	https://doi.org/10.1016/j.amc.2020.125699
State	Published - 1 Mar 2021

Bibliographical note

Publisher Copyright:
© 2020 Elsevier Inc.

Keywords

Common endpoint
Condition (E′)
Hyperbolic space
Multivalued mappings
Strong convergence
α-nonexpansive
△-convergence

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2020.125699

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title = "Approximating common endpoints of multivalued generalized nonexpansive mappings in hyperbolic spaces",

abstract = "In this paper, we introduce a new modified iteration process for approximating common endpoint of a multivalued α-nonexpansive mapping and a multivalued mapping satisfying condition (E′) in uniformly convex hyperbolic spaces. As a by-product, we improve the main results of Panyanak (2018) with a new and faster algorithm for two multivalued mappings. Moreover, we give a numerical example to substantiate our results. Our work is new and holds simultaneously in uniformly convex Banach spaces as well as CAT(0) spaces.",

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T1 - Approximating common endpoints of multivalued generalized nonexpansive mappings in hyperbolic spaces

AU - Oyetunbi, Dolapo Muhammed

AU - Khan, Abdul Rahim

PY - 2021/3/1

Y1 - 2021/3/1

N2 - In this paper, we introduce a new modified iteration process for approximating common endpoint of a multivalued α-nonexpansive mapping and a multivalued mapping satisfying condition (E′) in uniformly convex hyperbolic spaces. As a by-product, we improve the main results of Panyanak (2018) with a new and faster algorithm for two multivalued mappings. Moreover, we give a numerical example to substantiate our results. Our work is new and holds simultaneously in uniformly convex Banach spaces as well as CAT(0) spaces.

AB - In this paper, we introduce a new modified iteration process for approximating common endpoint of a multivalued α-nonexpansive mapping and a multivalued mapping satisfying condition (E′) in uniformly convex hyperbolic spaces. As a by-product, we improve the main results of Panyanak (2018) with a new and faster algorithm for two multivalued mappings. Moreover, we give a numerical example to substantiate our results. Our work is new and holds simultaneously in uniformly convex Banach spaces as well as CAT(0) spaces.

KW - Common endpoint

KW - Condition (E′)

KW - Hyperbolic space

KW - Multivalued mappings

KW - Strong convergence

KW - α-nonexpansive

KW - △-convergence

UR - https://www.scopus.com/pages/publications/85093667592

U2 - 10.1016/j.amc.2020.125699

DO - 10.1016/j.amc.2020.125699

M3 - Article

AN - SCOPUS:85093667592

SN - 0096-3003

VL - 392

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

M1 - 125699

ER -

Approximating common endpoints of multivalued generalized nonexpansive mappings in hyperbolic spaces

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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