Viscosity approximation methods for a nonexpansive semigroup in Banach spaces with gauge functions
From MaRDI portal
Publication:445326
DOI10.1007/s10898-011-9756-4zbMath1252.47072OpenAlexW2050570413MaRDI QIDQ445326
Prasit Cholamjiak, Suthep Suantai
Publication date: 24 August 2012
Published in: Journal of Global Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10898-011-9756-4
Banach spacescommon fixed pointsnonexpansive semigroupgauge functionsimplicit and explicit viscosity methods
Semigroups of nonlinear operators (47H20) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
The modified general iterative methods for asymptotically nonexpansive semigroups in Banach spaces ⋮ Unnamed Item ⋮ Fixed point solutions of variational inequalities for a semigroup of asymptotically nonexpansive mappings in Banach spaces ⋮ Iterative methods for solving equilibrium problems, variational inequalities and fixed points of nonexpansive semigroups ⋮ A general alternative regularization method with line search technique for solving split equilibrium and fixed point problems in Hilbert spaces ⋮ Iterative algorithm for mappings satisfying \(( B_{\gamma,\mu})\) condition ⋮ A modified inertial viscosity algorithm for an infinite family of nonexpansive mappings and its application to image restoration ⋮ On split generalized equilibrium problem with multiple output sets and common fixed points problem ⋮ Viscosity Iterative Algorithm {Accelerated extragradient algorithm for equilibrium and fixed point problems for countable family of certain multi-valued mappings] ⋮ Common best proximity coincidence point theorem for dominating proximal generalized Geraghty in complete metric spaces ⋮ A general iterative method for a nonexpansive semigroup in Banach spaces with gauge functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Successive approximations for common fixed points of a family of \(\alpha \)-nonexpansive mappings ⋮ Unnamed Item ⋮ Common fixed points of monotone \(\rho\)-nonexpansive semigroup in modular spaces ⋮ Convergence analysis of generalized viscosity implicit rules for a nonexpansive semigroup with gauge functions ⋮ Unnamed Item ⋮ Inertial viscosity forward–backward splitting algorithm for monotone inclusions and its application to image restoration problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The general iterative methods for nonexpansive mappings in Banach spaces
- Viscosity approximation to common fixed points of a nonexpansive semigroup with a generalized contraction mapping
- Convergence to common fixed point of nonexpansive semigroups
- Fixed-point solutions of variational inequalities for nonexpansive semigroups in Hilbert spaces
- General iterative algorithm for nonexpansive semigroups and variational inequalities in Hilbert spaces
- Strong convergence of modified Ishikawa iteration for a nonexpansive semigroup in Banach spaces
- General iterative methods for a one-parameter nonexpansive semigroup in Hilbert space
- On Reich's strong convergence theorems for resolvents of accretive operators
- Strong convergence theorems for resolvents of accretive operators in Banach spaces
- Approximation of fixed points of nonexpansive mappings
- Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
- Strong convergence of modified Mann iterations
- Viscosity approximation methods for nonexpansive mappings
- Strong convergence theorems of viscosity iterative methods for a countable family of strict pseudo-contractions in Banach spaces
- Viscosity approximation methods for fixed-points problems
- Iterative approximation of fixed points of nonexpansive mappings
- Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
- Viscosity approximation of common fixed points of nonexpansive semigroups in Banach space
- Strong convergence theorems for nonexpansive semigroup in Banach spaces
- Geometric properties of Banach spaces and nonlinear iterations
- Convergence theorems for sequences of nonlinear operators in Banach spaces
- Iterative Algorithms for Nonlinear Operators
- An Introduction to Banach Space Theory
- Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces
- Another control condition in an iterative method for nonexpansive mappings
- On strong convergence to common fixed points of nonexpansive semigroups in Hilbert spaces
- A strong convergence theorem for contraction semigroups in Banach spaces
- Fixed Point Theory for Lipschitzian-type Mappings with Applications
- Fixed points of nonexpanding maps
This page was built for publication: Viscosity approximation methods for a nonexpansive semigroup in Banach spaces with gauge functions
