A generalization of Kannan and Chatterjea fixed point theorems on complete $b$-metric spaces

DOI10.22130/scma.2017.23831zbMath1413.54117OpenAlexW2586393146MaRDI QIDQ4647051

Hamid Faraji, Kourosh Nourouzi

Publication date: 4 January 2019

Full work available at URL: https://scma.maragheh.ac.ir/article_23831_6c258f4180145f5370b887cf815cd897.pdf

zbMATH Keywords

common fixed point\(b\)-metric spacealtering distance function

Mathematics Subject Classification ID

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

Related Items (6)

Remarks on some fixed point results in \(b\)-metric spaces ⋮ Unique common fixed points for occasionally weakly biased maps of type (\(\mathscr{A}\)) in \(b\)-metric-like spaces ⋮ Nemytzki-Edelstein-Meir-Keeler type results in \(b\)-metric spaces ⋮ Some fixed point theorems for generalized Kannan type mappings in b-metric spaces ⋮ Unnamed Item ⋮ Fixed point theorems for Geraghty contraction type mappings in \(b\)-metric spaces and applications

Cites Work

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• A note on ``Some results on multi-valued weakly Jungck mappings in \(b\)-metric space
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• KKM mappings in metric type spaces
• Some fixed point results for multi-valued mappings in \(b\)-metric spaces
• Ulam-Hyers stability results for fixed point problems via \(\alpha\)-\(\psi\)-contractive mapping in \((b)\)-metric space
• Common fixed points of two mappings
• Fixed Point Theory in Distance Spaces
• Fixed point theorems by altering distances between the points

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