Fixed point-type results for a class of extended cyclic self-mappings under three general weak contractive conditions of rational type

DOI10.1186/1687-1812-2011-102zbMath1312.54019OpenAlexW2112369508WikidataQ57675168 ScholiaQ57675168MaRDI QIDQ359954

Manuel de la Sen, Ravi P. Agarwal

Publication date: 23 August 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2011-102

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (10)

On fixed and best proximity points of cyclic \(C\)-contractions in probabilistic complete metric and Banach spaces ⋮ Some results on best proximity points of cyclic alpha-psi contractions in Menger probabilistic metric spaces ⋮ Cyclic contractions via auxiliary functions on \(G\)-metric spaces ⋮ Some properties of distances and best proximity points of cyclic proximal contractions in metric spaces ⋮ Convergence properties and fixed points of two general iterative schemes with composed maps in Banach spaces with applications to guaranteed global stability ⋮ On weak contractive cyclic maps in generalized metric spaces and some related results on best proximity points and fixed points ⋮ Some results on best proximity points of cyclic contractions in probabilistic metric spaces ⋮ On best proximity results for a generalized modified Ishikawa's iterative scheme driven by perturbed 2-cyclic like-contractive self-maps in uniformly convex Banach spaces ⋮ On the global stability of an iterative scheme in a probabilistic Menger space ⋮ Properties of convergence of a class of iterative processes generated by sequences of self-mappings with applications to switched dynamic systems

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