@ARTICLE{Thierno,
author = {Thierno, Sow and },
title = {General Viscosity Iterative Process for Solving Variational Inclusion and Fixed Point Problems Involving Multi-Valued Quasi-Non-Expansive and Demicontractive Operators With Application},
volume = {1},
number = {1},
abstract ={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. },
URL = {http://maco.lu.ac.ir/article-1-37-en.html},
eprint = {http://maco.lu.ac.ir/article-1-37-en.pdf},
journal = {Mathematical Analysis and Convex Optimization},
doi = {10.29252/maco.1.1.10},
year = {2020}
}