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Strong convergence of split equality variational inequality, variational inclusion, and multiple sets fixed point problems in Hilbert spaces with application
This paper introduces an innovative inertial simultaneous cyclic iterative algorithm designed to address a range of mathematical problems within the...
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Inertial iterative algorithms for common solution of variational inequality and system of variational inclusion problems
In this paper, we aim to consider a general variational inequality with a monotone operator and a system of nonlinear variational inclusion problems...
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A new projection and contraction method for solving split monotone variational inclusion, pseudomonotone variational inequality, and common fixed point problems
Several authors have studied and proposed different iterative methods for approximating a common solution of variational inequality problem and other...
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A relaxed splitting method for solving variational inclusion and fixed point problems
In this work, we propose an iterative method for finding a common solution of a variational inclusion problem involving a maximally monotone operator...
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On a system of monotone variational inclusion problems with fixed-point constraint
In this paper, we study the problem of finding the solution of the system of monotone variational inclusion problems recently introduced by Chang et...
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An inertial viscosity algorithm for solving monotone variational inclusion and common fixed point problems of strict pseudocontractions
In this paper, we study the problem of finding the solution of monotone variational inclusion problem (MVIP) with constraint of common fixed point...
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Convergence theorem for fixed point and split generalized variational inclusion problems with multiple output sets in Banach spaces
In the framework of p -uniformly convex uniformly and smooth Banach spaces, we introduce the split common generalized variational incusion problem...
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A Modified inertial Halpern method for solving split monotone variational inclusion problems in Banach Spaces
In this paper, we propose and study a modified inertial Halpern method for finding a common element of the set of solutions of split monotone...
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Relaxed Inertial Method for Solving Split Monotone Variational Inclusion Problem with Multiple Output Sets Without Co-coerciveness and Lipschitz Continuity
In this paper, we study the concept of split monotone variational inclusion problem with multiple output sets. We propose a new relaxed inertial...
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Two Optimization Approaches for Solving Split Variational Inclusion Problems with Applications
Using inertial effects, novel defined parameters and proximal-like algorithms with new variable stepsize rules, we propose two efficient optimization...
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Global Approximations of Vector Optimization Problems in Terms of Variational Convergence
Global approximations of scalar optimization problems in terms of variational convergence have been studied for several decades. However, there are...
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Regularization methods for hierarchical variational inequality problems on Hadamard manifolds
This article proposes two regularized iterative algorithms for solving variational inequality problems defined over a solution set of a variational...
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An Inertial Type Algorithm for Extended Split Equality Variational Inclusion and Fixed Point Problems
In this article, we study an extended split equality variational inclusion and fixed point problems which is an extension of the split equality...
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An inertial subgradient extragradient algorithm for modified variational inclusion problem and mixed equilibrium problem in real Hilbert space
Our main focus of this study is based on modified variational inclusion problems with mixed equilibrium problems in real Hilbert space. An iterative...
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A parallel Tseng’s splitting method for solving common variational inclusion applied to signal recovery problems
In this work we propose an accelerated algorithm that combines various techniques, such as inertial proximal algorithms, Tseng’s splitting algorithm,...
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Shrinking projection algorithm for solving a finite family of quasi-variational inclusion problems in Hadamard manifold
The purpose of this article is to introduce a general shrinking projection algorithm for solving a finite family of quasi-variational inclusion...
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Surface-subsurface filtration transport with seawater intrusion: multidomain mixed variational evolution problems
Surface-subsurface filtration transport with seawater intrusion phenomena are formulated and variationally analyzed, as coupled multimedia mixed...
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Asymptotics of the Spectrum of Variational Problems Arising in the Theory of Fluid Oscillations
This work is a survey of results on the spectral asymptotics of variational problems arising in the theory of small oscillations of a fluid in a...
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Second-Order Variational Analysis in Optimization, Variational Stability, and Control Theory, Algorithms, Applications
This fundamental work is a sequel to monographs by the same author: Variational Analysis and Applications (2018) and the two Grundlehren volumes Variat...
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On some fast iterative methods for split variational inclusion problem and fixed point problem of demicontractive map**s
In this paper, we find the common solution of a split variational inclusion problem and a fixed point problem of a finite collection of...
