Hybrid iterative algorithm for an infinite families of closed, uniformly asymptotic regular and uniformly Bregman totally quasi-D-asymptotically nonexpansive mappings in Banach spaces
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Authors
Renxing Ni
- Department of Mathematics, Shaoxing University, Zhejiang, 312000, China.
Abstract
A new hybrid Bregman projection method is considered for finding common solutions of the set of common fixed points of an infinite family of closed, uniformly asymptotic regular and uniformly Bregman totally
quasi-D-asymptotically nonexpansive mappings, the set of solutions to a variational inequality problem and
the set of common solutions to a system of generalized mixed equilibrium problems, strong convergence theorems of common elements are proved by using new analysis techniques and Bregman mappings in the setting
of uniformly smooth and 2-uniformly convex real Banach spaces. Our results improve and generalize many
important known recent results in the current literature, because Bregman projection mapping generalizes
the generalized projection mapping and the metric projection mapping.
Share and Cite
ISRP Style
Renxing Ni, Hybrid iterative algorithm for an infinite families of closed, uniformly asymptotic regular and uniformly Bregman totally quasi-D-asymptotically nonexpansive mappings in Banach spaces, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 6, 4924--4948
AMA Style
Ni Renxing, Hybrid iterative algorithm for an infinite families of closed, uniformly asymptotic regular and uniformly Bregman totally quasi-D-asymptotically nonexpansive mappings in Banach spaces. J. Nonlinear Sci. Appl. (2016); 9(6):4924--4948
Chicago/Turabian Style
Ni, Renxing. "Hybrid iterative algorithm for an infinite families of closed, uniformly asymptotic regular and uniformly Bregman totally quasi-D-asymptotically nonexpansive mappings in Banach spaces." Journal of Nonlinear Sciences and Applications, 9, no. 6 (2016): 4924--4948
Keywords
- Hybrid Bregman projection method
- Bregman totally quasi-D-asymptotically nonexpansive mapping
- variational inequality problem
- generalized mixed equilibrium problem
- uniformly smooth Banach space
- invex set
MSC
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