Journal Article10.1007/S43037-019-00030-4
An explicit parallel algorithm for solving variational inclusion problem and fixed point problem in Banach spaces
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TL;DR: In this article, an explicit parallel algorithm for finding a common element of zeros of the sum of two accretive operators and the set of fixed points of a nonexpansive mapping in the framework of Banach spaces is presented.
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Abstract: In this article, we introduce an explicit parallel algorithm for finding a common element of zeros of the sum of two accretive operators and the set of fixed point of a nonexpansive mapping in the framework of Banach spaces. We prove its strong convergence under some mild conditions. Finally, we provide some applications to the main result. The results presented in this paper extend and improve the corresponding results in the literature.
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Citations
A parallel monotone hybrid algorithm for a finite family of $$G-$$ G - nonexpansive mappings in Hilbert spaces endowed with a graph applicable in signal recovery
TL;DR: In this paper, the authors modified the shrinking projection method with the parallel monotone hybrid method for approximating common fixed points of a finite family of G-none-expansive mappings.
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•Journal Article
Iterative Methods for Solving the Monotone Inclusion Problem and the Fixed Point Problem in Banach Spaces
TL;DR: In this article, two iterative algorithms for solving the monotone inclusion problem and the fixed point problem of a relatively nonexpansive mapping in the framework of Banach spaces were proposed.
4
An Efficient Parallel Extragradient Method for Systems of Variational Inequalities Involving Fixed Points of Demicontractive Mappings
TL;DR: A new parallel extragradient method for solving systems of variational inequalities and common fixed point problems for demicontractive mappings in real Hilbert spaces is presented and a strong convergence result is proved.
3
Strong Convergence Analysis of Iterative Algorithms for Solving Variational Inclusions and Fixed-Point Problems of Pseudocontractive Operators
TL;DR: In this article, the authors used the Halpern-type method for finding a common solution of variational inclusions and fixed-point problems of pseudocontractive operators.
An inertial parallel algorithm for a finite family of $ G $-nonexpansive mappings applied to signal recovery
01 Jan 2022
TL;DR: In this paper , the weak convergence of the sequences generated by the inertial technique combining the parallel monotone hybrid method for finding a common fixed point of a finite family of none-expansive mappings under suitable conditions in Hilbert spaces endowed with graphs is investigated.
3
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