Perturbed iterative methods for a general family of operators: convergence theory and applications
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Publication:4999746
DOI10.1080/02331934.2020.1745798OpenAlexW3013768724MaRDI QIDQ4999746
Ngai-Ching Wong, Daya Ram Sahu, Luo Yi Shi, Jen-Chih Yao
Publication date: 2 July 2021
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331934.2020.1745798
strong convergenceconvex minimization problemsvariational inequality problemsconvex feasibility problemsfirmly nonexpansive mappingshybrid steepest descentmultiple-set split feasibility problemssteepest descent-like methods
Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Perturbations of nonlinear operators (47H14) Fixed-point iterations (47J26)
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Cites Work
- Unnamed Item
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- A general inexact iterative method for monotone operators, equilibrium problems and fixed point problems of semigroups in Hilbert spaces
- A simpler explicit iterative algorithm for a class of variational inequalities in Hilbert spaces
- Viscosity methods for common solutions of equilibrium and variational inequality problems via multi-step iterative algorithms and common fixed points
- A generalized hybrid steepest-descent method for variational inequalities in Banach spaces
- Convergence of hybrid steepest-descent methods for variational inequalities
- Averaged mappings and the gradient-projection algorithm
- An explicit iterative algorithm for a class of variational inequalities in Hilbert spaces
- Hilbertian convex feasibility problem: Convergence of projection methods
- Approximation methods for common fixed points of nonexpansive mappings in Hilbert spaces
- Convergence to common fixed point of nonexpansive semigroups
- Solving variational inequalities involving nonexpansive type mappings
- Perturbation techniques for nonexpansive mappings with applications
- On the convex approximation property and the asymptotic behavior of nonlinear contractions in Banach spaces
- Common fixed points of nonexpansive mappings by iteration
- On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
- A multiprojection algorithm using Bregman projections in a product space
- Strong convergence to common fixed points of families of nonexpansive mappings
- Selective projection methods for solving a class of variational inequalities
- Strong convergence theorems for approximating common fixed points of families of nonexpansive mappings and applications
- Strong convergence theorems for nonexpansive semigroup in Banach spaces
- Convergence of Inexact Mann Iterations Generated by Nearly Nonexpansive Sequences and Applications
- A Unified Hybrid Iterative Method for Solving Variational Inequalities Involving Generalized Pseudocontractive Mappings
- The multiple-sets split feasibility problem and its applications for inverse problems
- A sufficient and necessary condition for Halpern-type strong convergence to fixed points of nonexpansive mappings
- Application of Quasi-Nonexpansive Operators to an Iterative Method for Variational Inequality
- General Projective Splitting Methods for Sums of Maximal Monotone Operators
- Monotone Operators and the Proximal Point Algorithm
- Strong convergence theorems for strongly relatively nonexpansive sequences and applications
- On Projection Algorithms for Solving Convex Feasibility Problems
- Proximal and uniform convergence on apartness spaces
- Successive Averages of Firmly Nonexpansive Mappings
- Fixed Point Theory for Lipschitzian-type Mappings with Applications
- Properties of Fixed-Point Sets of Nonexpansive Mappings in Banach Spaces
- Convergence theorems for nonexpansive mappings and feasibility problems
- Inherently parallel algorithms in feasibility and optimization and their applications. Research workshop, Haifa, Israel, March 13--16, 2000