A fixed point theorem for cyclic generalized contractions in metric spaces

DOI10.1186/1687-1812-2012-122zbMath1274.54108OpenAlexW2152840336WikidataQ59289045 ScholiaQ59289045MaRDI QIDQ375411

Adrian Petruşel, Naseer Shahzad, Maryam A. Alghamdi

Publication date: 30 October 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-122

Mathematics Subject Classification ID

Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (9)

Cyclic contractions via auxiliary functions on \(G\)-metric spaces ⋮ Fixed points of \(F\)-weak contractions on complete metric spaces ⋮ Fixed point theorems for integral \(G\)-contractions ⋮ Cyclic contractions on \(G\)-metric spaces ⋮ \(G\)-Prešić operators on metric spaces endowed with a graph and fixed point theorems ⋮ A survey of fixed point theorems under Pata-type conditions ⋮ Unnamed Item ⋮ Related fixed point results for cyclic contractions on G-metric spaces and application ⋮ New fixed point theorems with applications to non-linear neutral differential equations

Cites Work

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• Fixed point theory for cyclic \((\phi - \varPsi)\)-contractions
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• Denotational models for programming languages: Applications of Banach's fixed point theorem
• Application of the Banach fixed-point theorem to the scattering problem at a nonlinear three-layer structure with absorption
• Fixed point theory for cyclic weak \(\phi\)-contraction
• Fixed point theory for cyclic \(\varphi\)-contractions
• A fixed point theorem in metric spaces

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