On extended Branciari \(b\)-distance spaces and applications to fractional differential equations

DOI10.1155/2021/9949147OpenAlexW3163004991MaRDI QIDQ2037326

Reena Jain, Reny George, Zoran D. Mitrović, Hemant Kumar Nashine

Publication date: 30 June 2021

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/9949147

zbMATH Keywords

\(b\)-metric spacesnonlinear fractional differential equationsBranciari \(b\)-distance spacesgeneralised \(w\)-Ulam-Hyers stabilityweak limit shadowing propertyweak well-posed property

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 (1)

Fixed point theorems for set-valued \(\mathcal{L} \)-contractions in Branciari distance spaces

Cites Work

• Fixed point results, generalized Ulam-Hyers stability and well-posedness via \(\alpha\)-admissible mappings in \(b\)-metric spaces
• Ulam-Hyers stability and well-posedness of fixed point problems for \(\alpha\)-\(\lambda\)-contractions on quasi \(b\)-metric spaces
• Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
• A fixed point theorem for mappings satisfying a general contractive condition of integral type
• Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation
• On some new fixed point results in fuzzy \(b\)-metric spaces
• Solutions of boundary value problems on extended-Branciari \(b\)-distance
• Leibniz type rule: \(\psi\)-Hilfer fractional operator
• On the \(\psi\)-Hilfer fractional derivative
• Several fixed-point theorems for \(F\)-contractions in complete Branciari \(b\)-metric spaces and applications
• \(b_2\)-metric spaces and some fixed point theorems
• A generalization of \(b\)-metric space and some fixed point theorems
• Fixed point theory for cyclic \(\varphi\)-contractions
• Some existence results on nonlinear fractional differential equations
• Existence of solutions of cantilever beam problem via (α-β-FG)-contractions in b-metric-like spaces
• The new results in extended $b$-metric spaces and applications
• Fixed point theorems for generalized weak contraction mapping in generating space of b-dislocated metric spaces
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