An approach to the existence and uniqueness of fixed point results in \(b\)-metric spaces via \(s\)-simulation functions

DOI10.1007/S11784-017-0453-XzbMath1490.54116OpenAlexW2694857175MaRDI QIDQ1684891

Wutiphol Sintunavarat, Oratai Yamaod

Publication date: 12 December 2017

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

Full work available at URL: https://doi.org/10.1007/s11784-017-0453-x

zbMATH Keywords

simulation functions\(b\)-metric spaces\(\mathcal Z_s\)-contractions\(\mathcal Z\)-contractions\(s\)-simulation functions

Mathematics Subject Classification ID

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

Related Items (3)

Fixed point results via extended \(\mathcal{FZ} \)-simulation functions in fuzzy metric spaces ⋮ Fixed point theorems for set-valued \(\mathcal{L} \)-contractions in Branciari distance spaces ⋮ Some non-unique fixed point or periodic point results in JS-metric spaces

Cites Work

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• Common fixed point theorems for generalized cyclic contraction pairs in \(b\)-metric spaces with applications
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• Fixed point theorems for (α,β)−(ψ,φ) -contractive mapping in b--metric spaces with some numerical results and applications
• A new approach to the study of fixed point theory for simulation functions
• The solution by iteration of nonlinear functional equations in Banach spaces

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