Some fixed point theorems for \((\alpha,\theta,k)\)-contractive multi-valued mappings with some applications

DOI10.1186/s13663-015-0385-3zbMath1505.54081OpenAlexW1887794784WikidataQ59430512 ScholiaQ59430512MaRDI QIDQ287958

Adoon Pansuwan, Wutiphol Sintunavarat, Vahid Parvaneh, Yeol Je Cho

Publication date: 23 May 2016

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

Full work available at URL: https://doi.org/10.1186/s13663-015-0385-3

zbMATH Keywords

\(\alpha\)-complete metric spaces\(\alpha\)-admissible multi-valued mapping\(\alpha\)-continuous function

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (12)

On Some Fixed Point Results in Various Types of Modular Metric Spaces ⋮ Unnamed Item ⋮ Fixed point theorems for multi-valued mappings with a \(\phi \) function ⋮ Fixed point theorems for \((\alpha, k, \theta, \varphi)\)-contraction multivalued mappings in \(b\)-metric space ⋮ Fixed points of generalized \((\alpha,\psi,\phi)\)-rational contractive mappings in \(\alpha\)-complete metric spaces ⋮ Common fixed points via implicit contractions on b-metric-like spaces ⋮ Multivalued fixed point theorems for generalized contractions and their applications ⋮ Common fixed point results via implicit contractions for multi-valued mappings on b-metric like spaces ⋮ Unnamed Item ⋮ Generalized multivalued Khan-type \((\psi ,\phi )\)-contractions in complete metric spaces ⋮ Suzuki-type fixed point results in Gb-metric spaces ⋮ Existence of solutions for boundary value problems and nonlinear matrix equations via F-contraction mappings in b-metric spaces

Cites Work

• On new fixed point results for \((\alpha, \psi, \xi)\)-contractive multi-valued mappings on \(\alpha\)-complete metric spaces and their consequences
• Fixed point theorems for generalized \(w_{\alpha}\)-contraction multivalued mappings in \(\alpha\)-complete metric spaces
• On fixed points of \({\alpha}\)-\({\psi}\)-contractive multifunctions
• Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
• Fixed point theory in \(\alpha\)-complete metric spaces with applications
• Coincidence and fixed points for multi-valued mappings and its application to nonconvex integral inclusions
• Fixed point results for multivalued contractions on a metric space with a graph
• Further generalizations of the Banach contraction principle
• Fixed point analysis for multi-valued operators with graph approach by the generalized Hausdorff distance
• Some results on fixed points of \({\alpha}\)-\(\psi\)-Ćirić generalized multifunctions
• Multi-valued contraction mappings
• The contraction principle for mappings on a metric space with a graph

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