Wardowski type contractions and the fixed-circle problem on \(S\)-metric spaces

DOI10.1155/2018/9127486zbMath1487.54067OpenAlexW2895930035MaRDI QIDQ1728881

Nihal Yilmaz Özgür, Nihal Taş, Nabil Mlaiki, Ufuk Çelik, Aiman A. Mukheimer

Publication date: 26 February 2019

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/9127486

Mathematics Subject Classification ID

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

Related Items (16)

Fixed-disc results via simulation functions ⋮ Common Fixed Point Results on Complex-Valued $S$-Metric Spaces ⋮ Some fixed-circle results with different auxiliary functions ⋮ On the geometry of fixed points of self-mappings on S-metric spaces ⋮ A new solution to the Rhoades' open problem with an application ⋮ Some new \(\varphi\)-fixed point and \(\varphi\)-fixed disc results via auxiliary functions ⋮ New fixed-circle results on fuzzy metric spaces with an application to dynamic market equilibrium ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On unique and nonunique fixed points and fixed circles in \(\mathcal{M}_v^b\)-metric space and application to cantilever beam problem ⋮ On unique and nonunique fixed points in metric spaces and application to chemical sciences ⋮ New discontinuity results at fixed point on metric spaces ⋮ Pata Zamfirescu type fixed-disc results with a proximal application ⋮ Fixed-discs in rectangular metric spaces

Cites Work

• Ulam-Hyers stability and well-posedness of fixed point problems for \(\alpha\)-\(\lambda\)-contractions on quasi \(b\)-metric spaces
• A fixed point theorem for set-valued quasi-contractions in \(b\)-metric spaces
• Fixed points of a new type of contractive mappings in complete metric spaces
• \((\alpha, \psi)\)-Meir-Keeler contraction mappings in generalized \(b\)-metric spaces
• Contraction conditions using comparison functions on \(b\)-metric spaces
• Some new contractive mappings on \(S\)-metric spaces and their relationships with the mapping (S25)
• FIXED-CIRCLE PROBLEM ON <em>S</em>-METRIC SPACES WITH A GEOMETRIC VIEWPOINT
• New types of \(F_c\)-contractions and the fixed-circle problem
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