On new fixed point results for \((\alpha, \psi, \xi)\)-contractive multi-valued mappings on \(\alpha\)-complete metric spaces and their consequences

DOI10.1186/1687-1812-2015-2zbMath1391.54033OpenAlexW1827563423WikidataQ59426555 ScholiaQ59426555MaRDI QIDQ285862

Wutiphol Sintunavarat, Mirwan Amin Kutbi

Publication date: 19 May 2016

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2015-2

zbMATH Keywords

\((\alpha, \psi, \xi)\)-contractive multi-valued mappings\(\alpha_{\ast}\)-admissible multi-valued mappings\(\alpha\)-admissible multi-valued mappings\(\alpha\)-complete metric spacesBianchini-Grandolfi gauge functions

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25)

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Cites Work

• Unnamed Item
• Unnamed Item
• Multivalued pseudo-Picard operators and fixed point results
• On fixed points of \({\alpha}\)-\({\psi}\)-contractive multifunctions
• Generalized contractions in metric spaces endowed with a graph
• Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
• Fixed points of generalized \(\alpha \)-\(\psi \)-contractions
• Fixed point theory in \(\alpha\)-complete metric spaces with applications
• \((\alpha, \psi, \xi)\)-contractive multivalued mappings
• Modified \(\alpha\)-\(\psi\)-contractive mappings with applications
• Fixed point results for multivalued contractions on a metric space with a graph
• A generalization of the Banach contraction principle with high order of convergence of successive approximations
• Some results on fixed points of \({\alpha}\)-\(\psi\)-Ćirić generalized multifunctions
• Multi-valued contraction mappings
• Fixed point of set-valued graph contractive mappings
• New general convergence theory for iterative processes and its applications to Newton-Kantorovich type theorems
• Fixed point theorems for singlevalued and multivalued generalized contractions in metric spaces endowed with a graph
• The contraction principle for mappings on a metric space with a graph
• Some Results on Fixed Points--II

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