Strongly relatively nonexpansive sequences generated by firmly nonexpansive-like mappings
From MaRDI portal
Publication:2264176
DOI10.1186/1687-1812-2014-95zbMath1332.47027OpenAlexW2159000243WikidataQ59396227 ScholiaQ59396227MaRDI QIDQ2264176
Publication date: 20 March 2015
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1812-2014-95
fixed pointBanach spaceproximal point algorithmfirmly nonexpansive mappingfirmly nonexpansive-like mappingmapping of type (P)uniform convexity constant
Monotone operators and generalizations (47H05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)
Related Items
A Novel Algorithm with Self-adaptive Technique for Solving Variational Inequalities in Banach Spaces ⋮ Single projection algorithm for variational inequalities in Banach spaces with application to contact problem ⋮ Approximation of common solutions of nonlinear problems in Banach spaces ⋮ A new double-projection method for solving variational inequalities in Banach spaces ⋮ An improved algorithm with Armijo line-search rule for solving pseudomonotone variational inequality problems in Banach spaces ⋮ Self-Adaptive Extragradient Methods for Solving Variational Inequalities and Fixed Point Problems in 2-Uniformly Convex and Uniformly Smooth Banach Spaces ⋮ Forward-reflected-backward splitting method without cocoercivity for the sum of maximal monotone operators in Banach spaces ⋮ Self-adaptive forward-backward splitting algorithm for the sum of two monotone operators in Banach spaces ⋮ Inertial iterative method for solving equilibrium problems and fixed point problems ⋮ Convergence theorem for split feasibility problem, equilibrium problem and zeroes of sum of monotone operators ⋮ Single-step algorithm for variational inequality problems in 2-uniformly convex Banach spaces ⋮ An inertial subgradient extragradient method with Armijo type step size for pseudomonotone variational inequalities with non-Lipschitz operators in Banach spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Self-adaptive subgradient extragradient method for solving pseudomonotone variational inequality problems in Banach spaces ⋮ An algorithm for finding a common point of the solutions of fixed point and variational inequality problems in Banach spaces ⋮ A Tseng extragradient method for solving variational inequality problems in Banach spaces ⋮ A subgradient extragradient algorithm for solving monotone variational inequalities in Banach spaces ⋮ Convergence results of forward-backward algorithms for sum of monotone operators in Banach spaces ⋮ A projected subgradient-proximal method for split equality equilibrium problems of pseudomonotone bifunctions in Banach spaces ⋮ Convergence of the method of extrapolation from the past for variational inequalities in uniformly convex Banach spaces ⋮ Convergence of the operator extrapolation method for variational inequalities in Banach spaces
Cites Work
- A strong convergence theorem for relatively nonexpansive mappings in a Banach space
- Existence of fixed points of firmly nonexpansive-like mappings in Banach spaces
- Sharp uniform convexity and smoothness inequalities for trace norms
- Image recovery by convex combinations of projections
- The problem of image recovery by the metric projections in Banach spaces
- Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces
- Strongly relatively nonexpansive sequences in Banach spaces and applications
- Characterization of the subdifferentials of convex functions
- On the maximal monotonicity of subdifferential mappings
- Monotone Operators and the Proximal Point Algorithm
- Strong Convergence of a Proximal-Type Algorithm in a Banach Space
- Strong convergence theorems for strongly relatively nonexpansive sequences and applications
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- On the Maximality of Sums of Nonlinear Monotone Operators
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item