Mathematical Analysis and Convex Optimization
آنالیز ریاضی و بهینه سازی محدب
MACO
Basic Sciences
http://maco.lu.ac.ir
1
admin
2717-0624
2717-0624
8
10.22034
14
8888
13
en
jalali
1399
3
1
gregorian
2020
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online
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fulltext
en
<p style="max-width:800px;">
General Viscosity Iterative Process for Solving Variational Inclusion and Fixed Point Problems Involving Multi-Valued Quasi-Non-Expansive and Demicontractive Operators With Application
</p>
پژوهشي
Research Article
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.
Common fixed points, Variational inclusion problems, Set-valued operators, Iterative methods
75
91
http://maco.lu.ac.ir/browse.php?a_code=A-10-42-1&slc_lang=en&sid=1
Sow
Thierno
sowthierno89@gmail.com
`1003194753284600565`

1003194753284600565
Yes
University Gaston Berger