Fixed point analysis for multi-valued operators with graph approach by the generalized Hausdorff distance

DOI10.1186/1687-1812-2014-142zbMath1328.54045OpenAlexW2145886390WikidataQ59321597 ScholiaQ59321597MaRDI QIDQ2264144

Mirwan Amin Kutbi, Wutiphol Sintunavarat

Publication date: 20 March 2015

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-142

zbMATH Keywords

directed graphcone metric spacegeneralized Hausdorff distance\(\alpha\)-admissible multi-valued operator

Mathematics Subject Classification ID

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

Related Items (7)

Some fixed point theorems for \((\alpha,\theta,k)\)-contractive multi-valued mappings with some applications ⋮ On the weakly \((\alpha, \psi, \xi)\)-contractive condition for multi-valued operators in metric spaces and related fixed point results ⋮ Fixed point theorems for \(\alpha \)-integral type \(G\)-contraction mappings ⋮ Endpoints of generalized contractions in \(\mathscr{F}\)-metric spaces with application to integral equations ⋮ Fixed point theorems for multi-valued mappings with a \(\phi \) function ⋮ Endpoint results for weakly contractive mappings in $mathcal{F}$-metric spaces with application ⋮ Generalized Ulam-Hyers stability and well-posedness for fixed point equation via \(\alpha\)-admissibility

Cites Work

• Fixed point theorems for multivalued maps in cone metric spaces
• Common fixed points of \(f\)-weak contractions in cone metric spaces
• On fixed points of \({\alpha}\)-\({\psi}\)-contractive multifunctions
• Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
• On cone metric spaces: a survey
• Some results on set-valued contractions in abstract metric spaces
• Common fixed point theorems for \(c\)-distance in ordered cone metric spaces
• Dynamic processes and fixed points of set-valued nonlinear contractions in cone metric spaces
• Cone metric spaces and fixed point theorems of contractive mappings
• Some notes on the paper ``Cone metric spaces and fixed point theorems of contractive mappings
• Endpoints and fixed points of set-valued contractions in cone metric spaces
• Fixed point results for multivalued maps in cone metric spaces
• On fixed points of \(\alpha\)-\(\psi\)-contractive multivalued mappings in cone metric spaces
• Some results on fixed points of \({\alpha}\)-\(\psi\)-Ćirić generalized multifunctions
• Common fixed points for maps on cone metric space
• Multi-valued contraction mappings
• The contraction principle for mappings on a metric space with a graph
• Newton’s Method for Convex Operators in Partially Ordered Spaces

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