Algorithmic procedure for approximate solution of split problems involving various classes of mappings

DOI10.1007/s41478-023-00565-8OpenAlexW4324143162MaRDI QIDQ6198502

Nnamdi N. Araka, Eric U. Ofoedu, Kingsley Obinna Ibeh

Publication date: 23 February 2024

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-023-00565-8

zbMATH Keywords

equilibrium problemsrelatively quasi-nonexpansive mappings\(\gamma\)-inverse strongly monotone mappingsreflexive real Banach space\(\eta\)-demimetric mappings

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

• Strong convergence theorems by hybrid methods for the split common null point problem in Banach spaces
• A general approximation scheme for solutions of various problems in fixed point theory
• Generalized mixed equilibrium problems and fixed point problem for a countable family of total quasi-\(\phi\)-asymptotically nonexpansive mappings in Banach spaces
• On a system of generalized mixed equilibrium problems involving variational-like inequalities in Banach spaces: existence and algorithmic aspects
• Fixed point theorems and weak convergence theorems for generalized hybrid mappings in Hilbert spaces
• Convergence analysis for finite family of relatively quasi nonexpansive mappings and systems of equilibrium problems
• Hybrid approximation of solutions of nonlinear operator equations and application to equation of Hammerstein-type
• A system of generalized mixed equilibrium problems, maximal monotone operators, and fixed point problems with application to optimization problems
• Convex functions, monotone operators and differentiability.
• The approximation of common element for maximal monotone operator, generalized mixed equilibrium problem and fixed point problem
• Strong convergence to common fixed points of countable relatively quasi-nonexpansive mappings
• Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces
• Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
• Strong convergence theorems by a new hybrid projection algorithm for fixed point problems and equilibrium problems of two relatively quasi-nonexpansive mappings
• Generalized mixed equilibrium problem in Banach spaces
• An iterative row-action method for interval convex programming
• A multiprojection algorithm using Bregman projections in a product space
• Approximation of common solutions of nonlinear problems involving various classes of mappings
• Iterative methods for approximating fixed points of Bregman nonexpansive operators
• New algorithms for approximating zeros of inverse strongly monotone maps and \(J\)-fixed points
• Geometric properties of Banach spaces and nonlinear iterations
• Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
• 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
• The split common fixed-point problem for demicontractive mappings
• Inequalities in Banach spaces with applications
• Asymptotic Behavior of Relatively Nonexpansive Operators in Banach Spaces
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space
• Another control condition in an iterative method for nonexpansive mappings
• Simultaneous iterative algorithm for the split equality fixed-point problem of demicontractive mappings
• The Split Common Null Point Problem
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
• Split equality variational inequality problems for pseudomonotone mappings in Banach spaces
• Strong convergence theorem by shrinking projection method for new nonlinear mappings in Banach spaces and applications
• Several solution methods for the split feasibility problem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item