General Viscosity Iterative Process For Solving Variational Inclusion and Fixed Point Problems Involving Multivalued Quasi-Nonexpansive and Demicontractive Operators With Application
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نویسنده
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Sow Thierno Mohamadane Mansour
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منبع
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Mathematical Analysis And Convex Optimization - 2020 - دوره : 1 - شماره : 1 - صفحه:75 -91
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چکیده
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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 quasinonexpansive 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 fxng 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.
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کلیدواژه
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Common Fixed Points; Variational Inclusion Problems; Set-Valued Operators;Iterative Methods
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آدرس
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Gaston Berger University, Department Of Mathematics, Senegal
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پست الکترونیکی
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sowthierno89@gmail.com
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