AU - Thierno, Sow
TI - General Viscosity Iterative Process for Solving Variational Inclusion and Fixed Point Problems Involving Multi-Valued Quasi-Non-Expansive and Demicontractive Operators With Application
PT - JOURNAL ARTICLE
TA - lu-maco
JN - lu-maco
VO - 1
VI - 1
IP - 1
4099 - http://maco.lu.ac.ir/article-1-37-en.html
4100 - http://maco.lu.ac.ir/article-1-37-en.pdf
SO - lu-maco 1
ABĀ - 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.
CP - IRAN
IN - Department of Mathematics Gaston Berger University, Saint Louis, Senegal
LG - eng
PB - lu-maco
PG - 75
PT - Research Article
YR - 2020