Existence and Ulam-Hyers stability of fixed point problem of generalized Suzuki type \(( \alpha_{*},\psi_{\varphi})\)-contractive multivalued operators

DOI10.1007/s13398-016-0351-xOpenAlexW2556867000MaRDI QIDQ1674110

Mujahid Abbas, Basit Ali

Publication date: 1 November 2017

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-016-0351-x

zbMATH Keywords

stabilitywell-posednessmultivalued mappingfixed point problemsb-metric space

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Cites Work

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• On fixed points of \({\alpha}\)-\({\psi}\)-contractive multifunctions
• Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
• Some fixed point generalizations are not real generalizations
• Some coincidence theorems and stability of iterative procedures
• Data dependence of the fixed point set of some multivalued weakly Picard operators.
• Stone-type theorem on \(b\)-metric spaces and applications
• Suzuki type fixed point theorems for generalized multi-valued mappings on a set endowed with two \(b\)-metrics
• A generalized Banach contraction principle that characterizes metric completeness
• Ulam-Hyers stability for partial differential inclusions
• On the Stability of the Linear Functional Equation

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