Viscosity approximation methods for solving fixed-point problems and split common fixed-point problems

In this paper, we introduce the strong convergence theorem for the viscosity approximation methods for solving the split common fixed-point problem in Hilbert spaces. As a consequence, we obtain strong convergence theorems for split variational inequality problems for Lipschitz continuous and monoto...

Full description

Saved in:
Bibliographic Details
Published in:Journal of fixed point theory and applications 2017-06, Vol.19 (2), p.1481-1499
Main Author: Thong, Duong Viet
Format: Article
Language:English
Subjects:
Analysis
Approximation
Convergence
Mathematical analysis
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Operation support systems
Operators
Theorems
Viscosity
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we introduce the strong convergence theorem for the viscosity approximation methods for solving the split common fixed-point problem in Hilbert spaces. As a consequence, we obtain strong convergence theorems for split variational inequality problems for Lipschitz continuous and monotone operators and split common null point problems for maximal monotone operators. Our results improve and extend the corresponding results announced by many others.
ISSN:1661-7738
1661-7746
DOI:10.1007/s11784-016-0323-y