RT - Journal Article
T1 - General Viscosity Iterative Process for Solving Variational Inclusion and Fixed Point Problems Involving Multi-Valued Quasi-Non-Expansive and Demicontractive Operators With Application
JF - lu-maco
YR - 2020
JO - lu-maco
VO - 1
IS - 1
UR - http://maco.lu.ac.ir/article-1-37-en.html
SP - 75
EP - 91
K1 - Common fixed points
K1 - Variational inclusion problems
K1 - Set-valued operators
K1 - Iterative methods
AB - In this paper, we introduce and study a new iterative method which is based on viscosity general algorithm and forward-backward splitting method for finding a common element of the set of common fixed points of multivalued demicontractive and quasi-nonexpansive mappings and the set of solutions of variational inclusion with set-valued maximal monotone mapping and inverse strongly monotone mappings in real Hilbert spaces. We prove that the sequence $x_n$ which is generated by the proposed iterative algorithm converges strongly to a common element of two sets above. Finally, our theorems are applied to approximate a common solution of fixed point problems with set-valued operators and the composite convex minimization problem. Our theorems are significant improvements on several important recent results.
LA eng
UL http://maco.lu.ac.ir/article-1-37-en.html
M3 10.29252/maco.1.1.10
ER -