%0 Journal Article
%A Thierno, Sow
%T General Viscosity Iterative Process for Solving Variational Inclusion and Fixed Point Problems Involving Multi-Valued Quasi-Non-Expansive and Demicontractive Operators With Application
%J Mathematical Analysis and Convex Optimization
%V 1
%N 1
%U http://maco.lu.ac.ir/article-1-37-en.html
%R 10.29252/maco.1.1.10
%D 2020
%K Common fixed points, Variational inclusion problems, Set-valued operators, Iterative methods,
%X 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.
%> http://maco.lu.ac.ir/article-1-37-en.pdf
%P 75-91
%& 75
%!
%9 Research Article
%L A-10-42-1
%+ University Gaston Berger
%G eng
%@ 2717-0624
%[ 2020