Some results on zero points of \(m\)-accretive operators in reflexive Banach spaces

DOI10.1186/1687-1812-2014-118zbMath1327.47069OpenAlexW2136598792WikidataQ59323657 ScholiaQ59323657MaRDI QIDQ2264159

Yunpeng Zhang, Chang Qun Wu, Songtao Lv

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/10.1186/1687-1812-2014-118

zbMATH Keywords

strong convergencereflexive Banach space\(m\)-accretive operatorsproximal point algorithmcommon zero points

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25)

Related Items

Weak and strong convergence theorems for common zeros of accretive operators ⋮ Some results on an infinite family of accretive operators in a reflexive Banach space

Cites Work

• Unnamed Item
• Unnamed Item
• On the strong convergence of an iterative process for asymptotically strict pseudocontractions and equilibrium problems
• Convergence analysis of an iterative algorithm for monotone operators
• A monotone projection algorithm for fixed points of nonlinear operators
• A modified Mann iteration for zero points of accretive operators
• A regularization algorithm for zero points of accretive operators
• Hybrid projection algorithms for treating common fixed points of a family of demicontinuous pseudocontractions
• Approximation of a zero point of accretive operator in Banach spaces
• Strong convergence of shrinking projection methods for quasi-nonexpansive mappings and equilibrium problems
• Viscosity approximation methods for resolvents of accretive operators in Banach spaces
• Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces
• Convergence theorems of common fixed points for a family of Lipschitz quasi-pseudocontractions
• Weak convergence theorems for nonexpansive mappings in Banach spaces
• Strong convergence theorems for resolvents of accretive operators in Banach spaces
• An example concerning fixed points
• Projection and proximal point methods: Convergence results and counterexamples.
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-\(\phi\)-nonexpansive mappings
• Proximal point algorithms for zero points of nonlinear operators
• Iterative algorithms with errors for zero points of \(m\)-accretive operators
• A regularization method for treating zero points of the sum of two monotone operators
• Nonexpansive projections on subsets of Banach spaces
• Asymptotic behavior of contractions in Banach spaces
• Strong convergence theorems for relatively nonexpansive mappings in a Banach space
• Some results on a modified Mann iterative scheme in a reflexive Banach space
• Shrinking Projection Methods for a Pair of Asymptotically Quasi-φ-Nonexpansive Mappings
• Some problems and results in the study of nonlinear analysis
• Fixed points of nonexpanding maps
• On the Maximality of Sums of Nonlinear Monotone Operators
• Properties of Fixed-Point Sets of Nonexpansive Mappings in Banach Spaces

This page was built for publication: Some results on zero points of \(m\)-accretive operators in reflexive Banach spaces