Strong convergence results for convex minimization and monotone variational inclusion problems in Hilbert space

DOI10.1007/s12215-019-00427-yzbMath1442.47051OpenAlexW2951303348MaRDI QIDQ777216

Oluwatosin Temitope Mewomo, Chibueze Christian Okeke, Chinedu Izuchukwu

Publication date: 3 July 2020

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-019-00427-y

zbMATH Keywords

maximal monotone operatorsstrong convergenceminimization problemgradient projection algorithmfixed point problemforward-backward algorithmmonotone inclusion probleminverse strongly monotone operators

Mathematics Subject Classification ID

Convex programming (90C25) Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Variational and other types of inclusions (47J22)

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Cites Work

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• A modular string averaging procedure for solving the common fixed point problem for quasi-nonexpansive mappings in Hilbert space
• Extragradient-type method for optimal control problem with linear constraints and convex objective function
• On the strong convergence of an algorithm about firmly pseudo-demicontractive mappings for the split common fixed-point problem
• Further investigation into split common fixed point problem for demicontractive operators
• Averaged mappings and the gradient-projection algorithm
• An iterative method for solving minimization, variational inequality and fixed point problems in reflexive Banach spaces
• Further investigation into approximation of a common solution of fixed point problems and split feasibility problems
• Inertial iterative process for fixed points of certain quasi-nonexpansive mappings
• Convergence theorems of fixed points for \(\kappa \)-strict pseudo-contractions in Hilbert spaces
• Convergence comparison of several iteration algorithms for the common fixed point problems
• A multiprojection algorithm using Bregman projections in a product space
• Asymptotic control and stabilization of nonlinear oscillators with non-isolated equilibria
• On the proximal point algorithm and demimetric mappings in \(\mathrm{CAT}(0)\) spaces
• A unified algorithm for solving split generalized mixed equilibrium problem, and for finding fixed point of nonspreading mapping in Hilbert spaces
• Solving non-additive traffic assignment problems: a descent method for co-coercive variational inequalities
• An iterative algorithm for fixed point problem and convex minimization problem with applications
• A modified Halpern algorithm for approximating a common solution of split equality convex minimization problem and fixed point problem in uniformly convex Banach spaces
• On the Mann-type iteration and the convex feasibility problem
• Convergence of the gradient projection method in optimal control problems
• General algorithms for split common fixed point problem of demicontractive mappings
• Solving the split feasibility problem without prior knowledge of matrix norms
• The split common fixed-point problem for demicontractive mappings
• Projection methods for variational inequalities with application to the traffic assignment problem
• A unified treatment of some iterative algorithms in signal processing and image reconstruction
• Solving monotone inclusions via compositions of nonexpansive averaged operators
• A Weak-to-Strong Convergence Principle for Fejér-Monotone Methods in Hilbert Spaces

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