Mann-type approximation scheme for solving a new class of split inverse problems in Hilbert spaces

DOI10.1080/00036811.2023.2233977zbMath1547.65054MaRDI QIDQ6607971

Unnamed Author, Oluwatosin Temitope Mewomo, T. O. Alakoya, Olaniyi Samuel Iyiola

Publication date: 19 September 2024

Published in: Applicable Analysis (Search for Journal in Brave)

Mathematics Subject Classification ID

Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Numerical solutions to equations with nonlinear operators (65J15) Numerical methods for variational inequalities and related problems (65K15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An iterative method for split hierarchical monotone variational inclusions
• Iterative approximation of solutions for constrained convex minimization problem
• Strong convergence theorems for the split variational inclusion problem in Hilbert spaces
• Forward-backward splitting methods for accretive operators in Banach spaces
• Solving proximal split feasibility problems without prior knowledge of operator norms
• Split monotone variational inclusions
• Approximation of zeros of inverse strongly monotone operators in Banach spaces
• Algorithms for the split variational inequality problem
• A multiprojection algorithm using Bregman projections in a product space
• Split common null point and common fixed point problems between Banach spaces and Hilbert spaces
• Viscosity approximation methods for fixed-points problems
• Subgradient extragradient method with double inertial steps for variational inequalities
• Convergence results of two-step inertial proximal point algorithm
• Viscosity \(S\)-iteration method with inertial technique and self-adaptive step size for split variational inclusion, equilibrium and fixed point problems
• Strong convergence of a self-adaptive inertial Tseng's extragradient method for pseudomonotone variational inequalities and fixed point problems
• A modified inertial subgradient extragradient method for solving variational inequalities
• On a system of monotone variational inclusion problems with fixed-point constraint
• New self-adaptive methods with double inertial steps for solving splitting monotone variational inclusion problems with applications
• Relaxed inertial methods for solving split variational inequality problems without product space formulation
• Inertial-type algorithm for solving split common fixed point problems in Banach spaces
• The split feasibility problem with multiple output sets in Hilbert spaces
• Inertial methods for finding minimum-norm solutions of the split variational inequality problem beyond monotonicity
• A new algorithm for solving the split common null point problem in Hilbert spaces
• The split common null point problem in Banach spaces
• Fixed point optimization algorithm and its application to network bandwidth allocation
• On the maximal monotonicity of subdifferential mappings
• Halpern-type iterative process for solving split common fixed point and monotone variational inclusion problem between Banach spaces
• A new projection and contraction method for solving split monotone variational inclusion, pseudomonotone variational inequality, and common fixed point problems
• The Split Common Null Point Problem
• On Projection Algorithms for Solving Convex Feasibility Problems
• A primal–dual fixed point algorithm for convex separable minimization with applications to image restoration
• On the inertial forward-backward splitting technique for solving a system of inclusion problems in Hilbert spaces
• Weak and linear convergence of a generalized proximal point algorithm with alternating inertial steps for a monotone inclusion problem
• A cyclic iterative method for solving Multiple Sets Split Feasibility Problems in Banach Spaces
• Fixed Point Theory for Lipschitzian-type Mappings with Applications
• Some methods of speeding up the convergence of iteration methods
• Fixed points of nonexpanding maps
• On the Maximality of Sums of Nonlinear Monotone Operators
• Relaxed inertial methods for solving the split monotone variational inclusion problem beyond co-coerciveness
• Iterative method for solving split common fixed point problem of asymptotically demicontractive mappings in Hilbert spaces
• Strong convergence of forward-reflected-backward splitting methods for solving monotone inclusions with applications to image restoration and optimal control
• Image restorations using a modified relaxed inertial technique for generalized split feasibility problems

Related Items (5)

Strong convergent inertial two-subgradient extragradient method for finding minimum-norm solutions of variational inequality problems ⋮ An inertial-like Tseng's extragradient method for solving pseudomonotone variational inequalities in reflexive Banach spaces ⋮ A new parallel algorithm for solving a class of variational inequalities ⋮ Strongly convergent inertial projection and contraction methods for split variational inequality problem ⋮ An alternated inertial projection and contraction algorithm for solving quasimonotone bilevel variational inequalities with application to optimal control problems

This page was built for publication: Mann-type approximation scheme for solving a new class of split inverse problems in Hilbert spaces