New fixed point results in rectangular metric space and application to fractional calculus

DOI10.1515/TMJ-2017-0006zbMath1453.54015OpenAlexW2586292894MaRDI QIDQ516715

Dhananjay Gopal, Hukmi Kiziltunç, Lokesh Budhia Budhia, Mehmet Kır

Publication date: 15 March 2017

Published in: Tbilisi Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/tmj-2017-0006

zbMATH Keywords

fixed pointnonlinear fractional differential equationrectangular metric

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Fractional ordinary differential equations (34A08)

Related Items (6)

A note on a Banach’s fixed point theorem in b-rectangular metric space and b-metric space ⋮ Generalization contractive mappings on rectangular \(b\)-metric space ⋮ Some new fixed point results in rectangular metric spaces with an application to fractional-order functional differential equations ⋮ Fixed point results in \(M_{\nu }\)-metric spaces with an application ⋮ A new result on Branciari metric space using \((\alpha, \gamma)\)-contractive mappings ⋮ Some critical remarks on “Some new fixed point results in rectangular metric spaces with an application to fractional-order functional differential equations”

Cites Work

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• Some fixed point theorems for \((\alpha,\psi)\)-rational type contractive mappings
• Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
• Positive solutions of an initial value problem for nonlinear fractional differential equations
• Modified \(\alpha\)-\(\psi\)-contractive mappings with applications
• On (α,ψ) Contractions of Integral Type on Generalized Metric Spaces

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