Volume 1, Issue 1 (6-2020)                   MACO 2020, 1(1): 75-91 | Back to browse issues page

‎ 10.29252/maco.1.1.10
‎ 20.1001.1.27170624.2020.1.1.9.7

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Thierno S.

General Viscosity Iterative Process for Solving Variational Inclusion and Fixed Point Problems Involving Multi-Valued Quasi-Non-Expansive and Demicontractive Operators With Application

. MACO 2020; 1 (1) :75-91
URL: http://maco.lu.ac.ir/article-1-37-en.html

General Viscosity Iterative Process for Solving Variational Inclusion and Fixed Point Problems Involving Multi-Valued Quasi-Non-Expansive and Demicontractive Operators With Application

Sow Thierno *
Abstract:   (2019 Views)
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.
Keywords: Common fixed points, Variational inclusion problems, Set-valued operators, Iterative methods
Full-Text [PDF 155 kb]   (878 Downloads)    
Type of Study: Research Article |
Published: 2020/06/16
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