On the extensions of Krasnoselskii-type theorems to \(p\)-cyclic self-mappings in Banach spaces

DOI10.1155/2011/568072zbMath1244.47052OpenAlexW2125948721WikidataQ57675187 ScholiaQ57675187MaRDI QIDQ659525

Manuel de la Sen

Publication date: 23 January 2012

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/568072

zbMATH Keywords

best proximity pointsexistence and uniqueness of fixed pointscontractive self-mappingsKrasnoselskij-type theorems

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10)

Related Items (2)

Fixed point-type results for a class of extended cyclic self-mappings under three general weak contractive conditions of rational type ⋮ Fixed and best proximity points of cyclic jointly accretive and contractive self-mappings

Cites Work

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• Convexity of the set of fixed points generated by some control systems
• Some combined relations between contractive mappings, Kannan mappings, reasonable expansive mappings, and \(T\)-stability
• Total stability properties based on fixed point theory for a class of hybrid dynamic systems
• A theorem on contraction mappings
• The fixed point property under renorming in some classes of Banach spaces

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