TY - JOUR
T1 - General Viscosity Iterative Process for Solving Variational Inclusion and Fixed Point Problems Involving Multi-Valued Quasi-Non-Expansive and Demicontractive Operators With Application
TT -
JF - lu-maco
JO - lu-maco
VL - 1
IS - 1
UR - http://maco.lu.ac.ir/article-1-37-en.html
Y1 - 2020
SP - 75
EP - 91
KW - Common fixed points
KW - Variational inclusion problems
KW - Set-valued operators
KW - Iterative methods
N2 - 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.
M3 10.29252/maco.1.1.10
ER -