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Hybrid Projection Methods for Bregman Totally Quasi-D-Asymptotically Nonexpansive Mappings

Authors :
Ni, Ren-Xing
Wen, Ching-Feng
Source :
Bulletin of the Malaysian Mathematical Sciences Society; April 2018, Vol. 41 Issue: 2 p807-836, 30p
Publication Year :
2018

Abstract

In this paper, a new iterative scheme by hybrid projection method is proposed for a finite family of Bregman totally quasi-D-asymptotically nonexpansive mappings. Conditions ensuring strong convergence are imposed to common elements of set of common fixed points of the mappings and set of common solutions to a system of generalized mixed equilibrium problems in a reflexive Banach space. These results extend many important recent ones in the literature.

Details

Language :
English
ISSN :
01266705 and 21804206
Volume :
41
Issue :
2
Database :
Supplemental Index
Journal :
Bulletin of the Malaysian Mathematical Sciences Society
Publication Type :
Periodical
Accession number :
ejs38665129
Full Text :
https://doi.org/10.1007/s40840-016-0366-7