Generalized split feasibility problem for multi-valued Bregman quasi-nonexpansive mappings in Banach spaces

Suliman Al-Homidan; Bashir Ali; Yusuf I. Suleiman

doi:10.1016/j.apnum.2020.12.001

Generalized split feasibility problem for multi-valued Bregman quasi-nonexpansive mappings in Banach spaces

Suliman Al-Homidan^*, Bashir Ali, Yusuf I. Suleiman

^*Corresponding author for this work

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

1 Scopus citations

Abstract

In this paper, the notion of generalized split feasibility problem (GSFP) is studied in p-uniformly convex Banach spaces. Some special cases of the GSFP are highlighted. A self-adaptive step-size iterative algorithm which converges strongly to solution of the GSFP is proved. The implementation of the method is demonstrated with two numerical examples. Our method does not require prior information of operator norms. Our results extend, improve and enrich recently announced related results in the literature.

Original language	English
Pages (from-to)	437-451
Number of pages	15
Journal	Applied Numerical Mathematics
Volume	161
DOIs	https://doi.org/10.1016/j.apnum.2020.12.001
State	Published - Mar 2021

Bibliographical note

Publisher Copyright:
© 2020

Keywords

Generalized split feasibility problems
Multi-valued Bregman quasi-nonexpansive mappings
Uniformly convex Banach spaces

ASJC Scopus subject areas

Numerical Analysis
Computational Mathematics
Applied Mathematics

Access to Document

10.1016/j.apnum.2020.12.001

Cite this

@article{5dba847bd01a481ab39de07d62736ba6,

title = "Generalized split feasibility problem for multi-valued Bregman quasi-nonexpansive mappings in Banach spaces",

abstract = "In this paper, the notion of generalized split feasibility problem (GSFP) is studied in p-uniformly convex Banach spaces. Some special cases of the GSFP are highlighted. A self-adaptive step-size iterative algorithm which converges strongly to solution of the GSFP is proved. The implementation of the method is demonstrated with two numerical examples. Our method does not require prior information of operator norms. Our results extend, improve and enrich recently announced related results in the literature.",

keywords = "Generalized split feasibility problems, Multi-valued Bregman quasi-nonexpansive mappings, Uniformly convex Banach spaces",

author = "Suliman Al-Homidan and Bashir Ali and Suleiman, \{Yusuf I.\}",

note = "Publisher Copyright: {\textcopyright} 2020",

year = "2021",

month = mar,

doi = "10.1016/j.apnum.2020.12.001",

language = "English",

volume = "161",

pages = "437--451",

journal = "Applied Numerical Mathematics",

issn = "0168-9274",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - Generalized split feasibility problem for multi-valued Bregman quasi-nonexpansive mappings in Banach spaces

AU - Al-Homidan, Suliman

AU - Ali, Bashir

AU - Suleiman, Yusuf I.

PY - 2021/3

Y1 - 2021/3

N2 - In this paper, the notion of generalized split feasibility problem (GSFP) is studied in p-uniformly convex Banach spaces. Some special cases of the GSFP are highlighted. A self-adaptive step-size iterative algorithm which converges strongly to solution of the GSFP is proved. The implementation of the method is demonstrated with two numerical examples. Our method does not require prior information of operator norms. Our results extend, improve and enrich recently announced related results in the literature.

AB - In this paper, the notion of generalized split feasibility problem (GSFP) is studied in p-uniformly convex Banach spaces. Some special cases of the GSFP are highlighted. A self-adaptive step-size iterative algorithm which converges strongly to solution of the GSFP is proved. The implementation of the method is demonstrated with two numerical examples. Our method does not require prior information of operator norms. Our results extend, improve and enrich recently announced related results in the literature.

KW - Generalized split feasibility problems

KW - Multi-valued Bregman quasi-nonexpansive mappings

KW - Uniformly convex Banach spaces

UR - https://www.scopus.com/pages/publications/85097336538

U2 - 10.1016/j.apnum.2020.12.001

DO - 10.1016/j.apnum.2020.12.001

M3 - Article

AN - SCOPUS:85097336538

SN - 0168-9274

VL - 161

SP - 437

EP - 451

JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

ER -

Generalized split feasibility problem for multi-valued Bregman quasi-nonexpansive mappings in Banach spaces

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this