A general convergence theorem for multiple-set split feasibility problem in Hilbert spaces

Abdul Rahim Khan; Mujahid Abbas; Yekini Shehu

A general convergence theorem for multiple-set split feasibility problem in Hilbert spaces

Abdul Rahim Khan^*, Mujahid Abbas, Yekini Shehu

^*Corresponding author for this work

Department of Mathematics

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

7 Scopus citations

Abstract

We establish strong convergence result of split feasibility problem for a family of quasi-nonexpansive multi-valued mappings and a total asymptotically strict pseudo-contractive mapping in infinite dimensional Hilbert spaces.

Original language	English
Pages (from-to)	349-357
Number of pages	9
Journal	Carpathian Journal of Mathematics
Volume	32
Issue number	2
State	Published - 2016

Bibliographical note

Publisher Copyright:
© 2015, North University of Baia Mare. All rights reserved.

Keywords

Hilbert space
Single-valued (multi-valued) quasi-nonexpansive mapping
Split common fixed-point problems
Strong convergence
Total asymptotically strict pseudocontractive mapping

ASJC Scopus subject areas

General Mathematics

Cite this

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title = "A general convergence theorem for multiple-set split feasibility problem in Hilbert spaces",

abstract = "We establish strong convergence result of split feasibility problem for a family of quasi-nonexpansive multi-valued mappings and a total asymptotically strict pseudo-contractive mapping in infinite dimensional Hilbert spaces.",

keywords = "Hilbert space, Single-valued (multi-valued) quasi-nonexpansive mapping, Split common fixed-point problems, Strong convergence, Total asymptotically strict pseudocontractive mapping",

author = "Khan, \{Abdul Rahim\} and Mujahid Abbas and Yekini Shehu",

year = "2016",

language = "English",

volume = "32",

pages = "349--357",

journal = "Carpathian Journal of Mathematics",

issn = "1584-2851",

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T1 - A general convergence theorem for multiple-set split feasibility problem in Hilbert spaces

AU - Khan, Abdul Rahim

AU - Abbas, Mujahid

AU - Shehu, Yekini

PY - 2016

Y1 - 2016

N2 - We establish strong convergence result of split feasibility problem for a family of quasi-nonexpansive multi-valued mappings and a total asymptotically strict pseudo-contractive mapping in infinite dimensional Hilbert spaces.

AB - We establish strong convergence result of split feasibility problem for a family of quasi-nonexpansive multi-valued mappings and a total asymptotically strict pseudo-contractive mapping in infinite dimensional Hilbert spaces.

KW - Hilbert space

KW - Single-valued (multi-valued) quasi-nonexpansive mapping

KW - Split common fixed-point problems

KW - Strong convergence

KW - Total asymptotically strict pseudocontractive mapping

UR - https://www.scopus.com/pages/publications/84982227869

M3 - Article

AN - SCOPUS:84982227869

SN - 1584-2851

VL - 32

SP - 349

EP - 357

JO - Carpathian Journal of Mathematics

JF - Carpathian Journal of Mathematics

IS - 2

ER -

A general convergence theorem for multiple-set split feasibility problem in Hilbert spaces

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this