Path convergence and approximation of common zeroes of a finite family of \(m\)-accretive mappings in Banach spaces

DOI10.1155/2010/285376zbMath1206.47086OpenAlexW1978238710WikidataQ58649806 ScholiaQ58649806MaRDI QIDQ1957566

Jerry N. Ezeora, Yekini Shehu

Publication date: 27 September 2010

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/223988

zbMATH Keywords

Banach space\(m\)-accretive mappingspseudocontractive mappingspath convergence

Mathematics Subject Classification ID

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

Iterative algorithms for infinite accretive mappings and applications to \(p\)-Laplacian-like differential systems ⋮ Some new iterative algorithms with errors for common solutions of two finite families of accretive mappings in a Banach space ⋮ Iterative schemes for finite families of maximal monotone operators based on resolvents ⋮ Iterative scheme with errors for common zeros of finite accretive mappings and nonlinear elliptic systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Strong convergence theorems for a common zero of a finite family of \(m\)-accretive mappings
• Iterative approximation of fixed points
• A new iterative algorithm for common solutions of a finite family of accretive operators
• Strong convergence of two iterative algorithms for nonexpansive mappings in Hilbert spaces
• Strong convergence theorems for resolvents of accretive operators in Banach spaces
• Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces
• Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
• Geometric properties of Banach spaces and nonlinear iterations
• Nonlinear semigroups and evolution equations
• Donsker's Delta Function and the Covariance between Generalized Functionals
• An iterative procedure for constructing zeros of accretive sets in Banach spaces
• A unified treatment of some iterative algorithms in signal processing and image reconstruction
• Convergence of paths for pseudo-contractive mappings in Banach spaces
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• NONLINEAR MONOTONE AND ACCRETIVE OPERATORS IN BANACH SPACES
• A Global Existence Theorem for Autonomous Differential Equations in a Banach Space

This page was built for publication: Path convergence and approximation of common zeroes of a finite family of \(m\)-accretive mappings in Banach spaces