Common fixed point results for generalized \((g\)-\(\alpha_{s^p},\psi,\varphi)\) contractive mappings with applications

DOI10.1155/2021/5020027zbMath1490.54082OpenAlexW3172084289MaRDI QIDQ2050388

Jianju Li, Hong Yan Guan

Publication date: 31 August 2021

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

Full work available at URL: https://doi.org/10.1155/2021/5020027

zbMATH Keywords

\(b\)-metric spacecommon fixed point theorem\(g\)-\(\alpha_{s^p}\)-admissible mappinggeneralized contractive condition

Mathematics Subject Classification ID

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

Cites Work

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• Some coincidence theorems and stability of iterative procedures
• Common fixed point results for generalized \(\alpha_{s^p}\) contractive mappings and applications
• Fixed point theorems in \(b\)-metric spaces and their applications to non-linear fractional differential and integral equations
• Compatible mapping and common fixed points
• Some valid generalizations of Boyd and Wong inequality and \((\psi,\phi)\)-weak contraction in partially ordered \(b\)-metric spaces
• Contraction conditions using comparison functions on \(b\)-metric spaces
• Common fixed point theorem via cyclic \((\alpha,\beta)-(\psi,\varphi)_S\)-contraction with applications
• Some fixed point theorems on ordered cone metric spaces
• Common fixed point of generalized weak contractive mappings in partially ordered b-metric spaces

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