Fixed point theorems for an elastic nonlinear mapping in Banach spaces

DOI10.1155/2015/760671zbMath1439.47039OpenAlexW1709593780WikidataQ59101426 ScholiaQ59101426MaRDI QIDQ1668920

Hiroko Manaka

Publication date: 29 August 2018

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

Full work available at URL: https://doi.org/10.1155/2015/760671

zbMATH Keywords

strong convergenceweak convergencesmooth Banach space\(V\)-strongly nonexpansive mappingelastic nonlinear mapping

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

• Convergence theorems for a maximal monotone operator and a \(V\)-strongly nonexpansive mapping in a Banach space
• 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
• Fenchel duality, Fitzpatrick functions and the extension of firmly nonexpansive mappings
• Inequalities in Banach spaces with applications
• Approximating Zeros of Accretive Operators
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space
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