Strong convergence of split equality variational inequality, variational inclusion, and multiple sets fixed point problems in Hilbert spaces with application

Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Numerical methods for variational inequalities and related problems (65K15)

Cites Work

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Split equality problem and multiple-sets split equality problem for quasi-nonexpansive multi-valued mappings
Projection algorithms for solving nonmonotone equilibrium problems in Hilbert space
Moudafi's open question and simultaneous iterative algorithm for general split equality variational inclusion problems and general split equality optimization problems
Strong convergence theorems for the split equality variational inclusion problem and fixed point problem in Hilbert spaces
An implementable splitting algorithm for the \(\ell_1\)-norm regularized split feasibility problem
Strong convergence theorems for the split variational inclusion problem in Hilbert spaces
Applications of fixed-point and optimization methods to the multiple-set split feasibility problem
Common solutions to variational inequalities
Split monotone variational inclusions
Weak and strong convergence theorems for the multiple-set split equality common fixed-point problems of demicontractive mappings
Modified inertial Mann algorithm and inertial CQ-algorithm for nonexpansive mappings
Solving the multiple-set split equality common fixed-point problem of firmly quasi-nonexpansive operators
Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
A multiprojection algorithm using Bregman projections in a product space
Common zero for a finite family of monotone mappings in Hadamard spaces with applications
A relaxed alternating CQ-algorithm for convex feasibility problems
Systems of variational inequalities and multiple-set split equality fixed-point problems for countable families of multivalued type-one mappings of the demicontractive type
An iterative method for solving split monotone variational inclusion problems and finite family of variational inequality problems in Hilbert spaces
Hybrid inertial accelerated algorithms for split fixed point problems of demicontractive mappings and equilibrium problems
Iterative methods for the split common fixed point problem in Hilbert spaces
Schemes for finding minimum-norm solutions of variational inequalities
Inertial accelerated algorithms for solving a split feasibility problem
Split equality monotone variational inclusions and fixed point problem of set-valued operator
The Linearized Bregman Method via Split Feasibility Problems: Analysis and Generalizations
Iterative Algorithms for Nonlinear Operators
Solving the split feasibility problem without prior knowledge of matrix norms
The multiple-sets split feasibility problem and its applications for inverse problems
Solving split equality fixed-point problem of quasi-nonexpansive mappings without prior knowledge of operators norms
Approximation Theorems and Fixed Point Theorem in Cones
A unified treatment of some iterative algorithms in signal processing and image reconstruction
Iterative oblique projection onto convex sets and the split feasibility problem
Strong convergence of a cyclic iterative algorithm for split common fixed-point problems of demicontractive mappings
Split equality problem with equilibrium problem, variational inequality problem, and fixed point problem of nonexpansive semigroups
A method with inertial extrapolation step for split monotone inclusion problems
Solving the general split common fixed-point problem of quasi-nonexpansive mappings without prior knowledge of operator norms
Common solution to a split equality monotone variational inclusion problem, a split equality generalized general variational-like inequality problem and a split equality fixed point problem
Variational inequalities
An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping
Relaxed inertial Tseng extragradient method for variational inequality and fixed point problems
Generalized set-valued nonlinear variational-like inequalities and fixed point problems: existence and approximation solvability results

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