On the equivalence of certain statements on fixed points of contractions

DOI10.1007/s10688-017-0200-5zbMath1480.54042OpenAlexW2777520666MaRDI QIDQ1707035

Pavel V. Semenov

Publication date: 28 March 2018

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-017-0200-5

zbMATH Keywords

fixed pointiterationsgeneralized contractioncontractive map

Mathematics Subject Classification ID

Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Cites Work

• A new approach to the Assad-Kirk fixed point theorem
• Wardowski type fixed point theorems in complete metric spaces
• Fixed points of a new type of contractive mappings in complete metric spaces
• A fixed point theorem for generalized \(F\)-contractions on complete metric spaces
• Equivalent conditions and the Meir-Keeler type theorems
• Some fixed point theorems concerning \(F\)-contraction in complete metric spaces
• Fixed points of \(F\)-weak contractions on complete metric spaces
• A theorem on contraction mappings
• Fixed point theorems for contractive mappings in metric spaces
• On Nonlinear Contractions
• On characterizations of Meir-Keeler contractive maps
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