Viscosity approximation methods for zeros of accretive operators and fixed point problems in Banach spaces
DOI10.1007/s40840-015-0139-8zbMath1338.47107OpenAlexW319516641WikidataQ59306893 ScholiaQ59306893MaRDI QIDQ263014
Poom Kumam, Pongsakorn Sunthrayuth, Yeol Je Cho
Publication date: 4 April 2016
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40840-015-0139-8
accretive operatorstrong convergencereflexive Banach spacesMeir-Keeler-type contractionviscosity approximation
Semigroups of nonlinear operators (47H20) Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Approximation of common fixed points of family of asymptotically nonexpansive mappings
- Implicit iteration methods for variational inequalities in Banach spaces
- Convergence theorems for generalized mixed equilibrium and variational inclusion problems of strict-pseudocontractive mappings
- A general iterative method for multi-valued mappings
- A new iterative method for generalized equilibrium and fixed point problems of nonexpansive mappings
- Convergence of iterative sequences for common zero points of a family of \(m\)-accretive mappings in Banach spaces
- Iterative approximation for a zero of accretive operator and fixed points problems in Banach space
- Strong vector equilibrium problems on noncompact sets
- Moudafi's viscosity approximations with Meir--Keeler contractions
- Approximation of a zero point of accretive operator in Banach spaces
- Viscosity approximation methods for a family of \(m\)-accretive mappings in reflexive Banach spaces
- Viscosity approximation to common fixed points of families of nonexpansive mappings with generalized contractions mappings
- On iterations methods for zeros of accretive operators in Banach spaces
- Strong convergence of modified Ishikawa iteration for a nonexpansive semigroup in Banach spaces
- Viscosity approximation methods for resolvents of accretive operators in Banach spaces
- A new iterative algorithm for common solutions of a finite family of accretive operators
- Weak convergence theorem by an extragradient method for variational inequality, equilibrium and fixed point problems
- Viscosity approximations by generalized contractions for resolvents of accretive operators in Banach spaces
- Strong convergence theorems for resolvents of accretive operators in Banach spaces
- A strongly convergent iterative solution of \(0 \in U(x)\) for a maximal monotone operator U in Hilbert space
- A hybrid extragradient method for pseudomonotone equilibrium problems and fixed point problems
- An iterative method for equilibrium, variational inequality, and fixed point problems for a nonexpansive semigroup in Hilbert spaces
- An explicit construction of sunny nonexpansive retractions in Banach spaces
- Convergence theorems for sequences of nonlinear operators in Banach spaces
- Hybrid Viscosity Approximation Method for Zeros ofm-Accretive Operators in Banach Spaces
- Iterative solutions for zeros of multivalued accretive operators
- Iterative Algorithms for Nonlinear Operators
- Construction of sunny nonexpansive retractions in Banach spaces
- Monotone Operators and the Proximal Point Algorithm
- Weak Convergence to the Fixed Point of an Asymptotically Nonexpansive Map
- Iterative solutions for zeros of accretive operators
- NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
- Fixed Point Theory for Lipschitzian-type Mappings with Applications
- NONLINEAR MONOTONE AND ACCRETIVE OPERATORS IN BANACH SPACES
- Fixed points of nonexpanding maps
- A Global Existence Theorem for Autonomous Differential Equations in a Banach Space
- Weak and strong convergence of solutions to accretive operator inclusions and applications
- On characterizations of Meir-Keeler contractive maps