Linking contractive self-mappings and cyclic Meir-Keeler contractions with Kannan self-mappings

DOI10.1155/2010/572057zbMath1194.54059OpenAlexW2126608636WikidataQ57675254 ScholiaQ57675254MaRDI QIDQ978966

Manuel de la Sen

Publication date: 25 June 2010

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/228158

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25)

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Cites Work

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• Some common fixed point theorems for selfmappings satisfying two contractive conditions of integral type in a uniform space
• Some similarity between contractions and Kannan mappings
• About robust stability of dynamic systems with time delays through fixed point theory
• A generalization of Kannan's fixed point theorem
• Global attractivity results for mixed-monotone mappings in partially ordered complete metric spaces
• Best proximity point theorems for \(p\)-cyclic Meir--Keeler contractions
• 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
• Strongly relatively nonexpansive sequences in Banach spaces and applications
• A theorem on contraction mappings
• The fixed point property under renorming in some classes of Banach spaces
• Fixed point theorems in ordered abstract spaces
• On the robust adaptive stabilization of a class of nominally first-order hybrid systems

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