Paper Info
Title
Hybrid inertial accelerated algorithms for split fixed point problems of demicontractive mappings and equilibrium problems
Abstract
Our contribution in this paper, we introduce and analyze two new hybrid algorithms by combining Mann iteration and inertial method for solving split fixed point problems of demicontractive mappings and equilibrium problems in a real Hilbert space. By using a new technique of choosing step size, our algorithms do not need any prior information on the operator norm. In fact, an inertial type algorithm was proposed in order to accelerate its convergence rate. We then prove weak and strong convergence of proposed methods under some control conditions. Moreover, some numerical experiments for image restoration problems and oligopolistic market equilibrium problems are also provided for supporting our main results.
Year
DOI
Venue
2020
10.1007/s11075-019-00855-y
NUMERICAL ALGORITHMS
Keywords
DocType
Volume
Demicontractive mappings,Inertial method,Split fixed point problem,Equilibrium problem,Hilbert spaces
Journal
85.0
Issue
ISSN
Citations 
3
1017-1398
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Adisak Hanjing100.34
Suthep Suantai24315.06