Fixed point theorems for single- and set-valued \(F\)-contractions in \(b\)-metric spaces

DOI10.1007/s11784-018-0519-4zbMath1390.54053OpenAlexW2790083821MaRDI QIDQ1742554

Tomonari Suzuki

Publication date: 11 April 2018

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

Full work available at URL: https://doi.org/10.1007/s11784-018-0519-4

zbMATH Keywords

fixed point theoremCauchy sequence\(b\)-metric space\(F\)-contraction

Mathematics Subject Classification ID

Topological spaces with richer structures (54E99) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (6)

Fixed point theorems for \(\left( \chi ,F\right)\)-Dass-Gupta contraction mappings in \(b\)-metric spaces with applications to integral equations ⋮ Fuzzy fixed point results of fuzzy mappings on \(b\)-metric spaces via \((\alpha_\ast, F)\)-contractions ⋮ Some variants of Wardowski fixed point theorem ⋮ \(\alpha\)-admissible mapping in \(C^*\)-algebra-valued b-metric spaces and fixed point theorems ⋮ Improvement of fixed point theorems for Hardy-Rogers contraction type in \(b\)-metric spaces without \(F\)-contraction assumption ⋮ Fixed point theorems for weakly beta-admissible pair of F-contractions with application

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fixed points of a new type of contractive mappings in complete metric spaces
• Remarks on contractive conditions of integral type
• Lectures on analysis on metric spaces
• New fixed point theorems for set-valued contractions in \(b\)-metric spaces
• Discussion of several contractions by Jachymski's approach
• Basic inequality on a \(b\)-metric space and its applications
• Nonlinear Contractions on Semimetric Spaces

This page was built for publication: Fixed point theorems for single- and set-valued \(F\)-contractions in \(b\)-metric spaces