A note on a Banach’s fixed point theorem in b-rectangular metric space and b-metric space

DOI10.1515/ms-2017-0172zbMath1505.54076OpenAlexW2898839622WikidataQ129024523 ScholiaQ129024523MaRDI QIDQ4558047

Zoran D. Mitrović

Publication date: 27 November 2018

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2017-0172

zbMATH Keywords

fixed pointsrectangular metric space$b$-metric space$b$-rectangular metric space

Mathematics Subject Classification ID

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

Related Items (14)

Solving existence problems via contractions in expanded \(b\)-metric spaces ⋮ Weak KKH-Caristi type expansion on complete \(b\)-metric and \(b\)-ordered metric spaces and its consequences ⋮ Coincidence fixed-point theorems for \(p\)-hybrid contraction mappings in \(G_b\)-metric space with application ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Fixed Point Results for $F$-Hardy-Rogers Contractions via Mann's Iteration Process in Complete Convex $b$-Metric Spaces ⋮ Common fixed point theorems on generalized ratio contraction mapping in extended rectangular \(b\)-metric spaces ⋮ Some fixed point results in partial rectangular metric-like spaces ⋮ A new approach in the context of ordered incomplete partial \(b\)-metric spaces ⋮ On surrounding quasi-contractions on non-triangular metric spaces ⋮ Common fixed point theorems for weakly contractions in rectangular \(b\)-metric spaces with supportive applications ⋮ Relation theoretic fixed point results for multivalued mappings in rectangular $b$-metrics spaces

Cites Work

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• New fixed point results in rectangular metric space and application to fractional calculus
• Remarks on cone metric spaces and fixed point theorems of contractive mappings
• KKM mappings in metric type spaces
• Rectangular b-metric space and contraction principles
• Complex valued rectangular b-metric spaces and an application to linear equations

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