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Modified Iterative Schemes for a Fixed Point Problem and a Split Variational Inclusion Problem

open access: yesMathematics, 2022
In this paper, we alter Wang’s new iterative method as well as apply it to find the common solution of fixed point problem (FPP) and split variational inclusion problem (SpVIP) in Hilbert space.
Mohammad Akram   +5 more
doaj   +4 more sources

General Split Variational Inclusion Problem in Hilbert Spaces [PDF]

open access: yesAbstract and Applied Analysis, 2014
We consider a general split variational inclusion problem (GSFVIP) and propose an algorithm for finding the solutions of GSFVIP in Hilbert space. We establish the strong convergence of the proposed algorithm to a solution of GSFVIP.
Li Yang, Fu Hai Zhao
doaj   +3 more sources

An iterative scheme for split monotone variational inclusion, variational inequality and fixed point problems [PDF]

open access: yesAdvances in Difference Equations, 2020
We propose and analyze a new type iterative algorithm to find a common solution of split monotone variational inclusion, variational inequality, and fixed point problems for an infinite family of nonexpansive mappings in the framework of Hilbert spaces ...
Monairah Alansari   +2 more
doaj   +2 more sources

Convergence analysis for split hierachical monotone variational inclusion problem in Hilbert spaces

open access: yesTopological Algebra and its Applications, 2022
In this paper, we introduce a new iterative algorithm for approximating a common solution of Split Hierarchical Monotone Variational Inclusion Problem (SHMVIP) and Fixed Point Problem (FPP) of k-strictly pseudocontractive mappings in real Hilbert spaces.
Abass H.A., Jolaoso L. O., Mewomo O. T.
doaj   +3 more sources

Inertial Iterative Algorithms for Split Variational Inclusion and Fixed Point Problems

open access: yesAxioms, 2023
This paper aims to present two inertial iterative algorithms for estimating the solution of split variational inclusion (SpVIsP) and its extended version for estimating the common solution of (SpVIsP) and fixed point problem (FPP) of a nonexpansive ...
Doaa Filali   +3 more
doaj   +2 more sources

On the Monotone Variational Inclusion Problems: A New Algorithm-Based Modified Splitting Approach

open access: yesJournal of Function Spaces
In this paper, we introduce and analyze an inertial viscosity forward–backward splitting approach. We approximate a common solution of the monotone variational inclusion problem by using the demicontractive mapping in a real Hilbert space.
Uzoamaka A. Ezeafulukwe   +5 more
doaj   +2 more sources

Yosida Approximation Iterative Methods for Split Monotone Variational Inclusion Problems [PDF]

open access: yesJournal of Function Spaces, 2022
In this paper, we present two iterative algorithms involving Yosida approximation operators for split monotone variational inclusion problems ( S p
Mohammad Dilshad   +3 more
openaire   +3 more sources

A Cyclic Iterative Algorithm for Multiple-Sets Split Common Fixed Point Problem of Demicontractive Mappings without Prior Knowledge of Operator Norm

open access: yesMathematics, 2021
The aim of this paper is to formulate and analyze a cyclic iterative algorithm in real Hilbert spaces which converges strongly to a common solution of fixed point problem and multiple-sets split common fixed point problem involving demicontractive ...
Nishu Gupta   +3 more
doaj   +1 more source

New inertial method for generalized split variational inclusion problems

open access: yesJournal of Industrial & Management Optimization, 2021
<p style='text-indent:20px;'>The purpose of this paper is to introduce a new inertial iterative method for solving split variational inclusion problems in real Hilbert spaces. We prove that the generated sequence converges weakly to the solution of the considered problem under some mild conditions.
Chuasuk, Preeyanuch   +3 more
openaire   +2 more sources

An Iterative Method for Solving Split Monotone Variational Inclusion Problems and Finite Family of Variational Inequality Problems in Hilbert Spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2021
The purpose of this paper is to study the convergence analysis of an intermixed algorithm for finding the common element of the set of solutions of split monotone variational inclusion problem (SMIV) and the set of a finite family of variational ...
Wanna Sriprad, Somnuk Srisawat
doaj   +1 more source

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