Common fixed point theorems on generalized ratio contraction mapping in extended rectangular \(b\)-metric spaces

DOI10.1155/2019/2756870zbMath1486.54066OpenAlexW2989892825MaRDI QIDQ2292317

Budi Nurwahyu

Publication date: 3 February 2020

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/2756870

zbMATH Keywords

fixed point theoremsgeneralised contraction mappingsextended rectangular \(b\)-metric spaces

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Cites Work

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• Common fixed point results on an extended b-metric space
• Compatible mapping and common fixed points
• Extended rectangular \(b\)-metric spaces and some fixed point theorems for contractive mappings
• A generalization of \(b\)-metric space and some fixed point theorems
• The metrization of rectangular \(b\)-metric spaces
• Common fixed point results for noncommuting mappings without continuity in cone metric spaces
• Coincidence Points and Common Fixed Points for Expansive Type Mappings in $b$-Metric Spaces
• Pata-type common fixed point results in b-metric and b-rectangular metric spaces
• Rectangular b-metric space and contraction principles
• A note on a Banach’s fixed point theorem in b-rectangular metric space and b-metric space
• F-HR-type contractions on (\alpha,\eta)-complete rectangular b-metric spaces

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