Convergence theorems for a maximal monotone operator and a \(V\)-strongly nonexpansive mapping in a Banach space

DOI10.1155/2010/189814zbMath1368.47071OpenAlexW1986568307WikidataQ58649769 ScholiaQ58649769MaRDI QIDQ1957559

Hiroko Manaka

Publication date: 27 September 2010

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

Full work available at URL: https://doi.org/10.1155/2010/189814

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (1)

Fixed point theorems for an elastic nonlinear mapping in Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convergence theorems for generalized projections and maximal monotone operators in Banach spaces
• A new projection and convergence theorems for the projections in Banach spaces
• Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces
• Fixed point theorems for nonlinear semicontractive mappings in Banach spaces
• Weak Convergence Theorems for Maximal Monotone Operators with Nonspreading mappings in a Hilbert space
• Fenchel duality, Fitzpatrick functions and the extension of firmly nonexpansive mappings
• Approximating Zeros of Accretive Operators
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
• Nonexpansive retracts of Banach spaces

This page was built for publication: Convergence theorems for a maximal monotone operator and a \(V\)-strongly nonexpansive mapping in a Banach space