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An iterative process for a hybrid pair of a Bregman strongly nonexpansive single-valued mapping and a finite family of Bregman relative nonexpansive multi-valued mappings in Banach spaces.

Authors :
CHUASUK, PREEYANUCH
FARAJZADEH, ALI
KAEWCHAROEN, ANCHALEE
AGARWAL, RAVI P.
Source :
Carpathian Journal of Mathematics. 2017, Vol. 33 Issue 3, p287-288. 2p.
Publication Year :
2017

Abstract

In this paper, we construct an iterative process involving a hybrid pair of a Bregman strongly nonexpansive single-valued mapping and a finite family of Bregman relative nonexpansive multi-valued mappings and prove strong convergence theorems of the proposed iterative process in reflexive Banach spaces under appropriate conditions. Our main results can be viewed as an improvement and extension of the several results in the literature. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
15842851
Volume :
33
Issue :
3
Database :
Academic Search Index
Journal :
Carpathian Journal of Mathematics
Publication Type :
Academic Journal
Accession number :
126380071
Full Text :
https://doi.org/10.37193/cjm.2017.03.03