New multivalued \(F\)-contraction mappings involving \(\alpha\)-admissibility with an application

DOI10.1186/S13660-023-03016-XzbMath1527.54059MaRDI QIDQ6182474

Samina Batul, Hassen Aydi, Dur-e-Shehwar Sagheer, Santosh Kumar, Isma Urooj

Publication date: 21 December 2023

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

\(\alpha\)-admissible mappingsmultivalued contraction mapping (MVCM)partial \(\mathfrak{b}\)-metric space (P\(\mathfrak{b}\)MS)

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Cites Work

• Fixed points of a new type of contractive mappings in complete metric spaces
• Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
• Fixed point theorem for F-contraction mappings, in partial metric spaces
• On some fixed point theorems for multivalued \(F\)-contractions in partial metric spaces
• Fuzzy fixed point results of fuzzy mappings on \(b\)-metric spaces via \((\alpha_\ast, F)\)-contractions
• Partial b-metric spaces and fixed point theorems
• Multi-valued contraction mappings
• A common fixed point theorem for generalised \(F\)-Kannan mapping in metric space with applications
• Partial Metric Spaces
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