On (\({\alpha^\ast,\psi}\))-contractive multi-valued mappings

DOI10.1186/1687-1812-2013-137zbMath1423.54065OpenAlexW2065984420WikidataQ59300273 ScholiaQ59300273MaRDI QIDQ2250972

Muhammad Usman Ali, Tayyab Kamran

Publication date: 22 July 2014

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-137

zbMATH Keywords

\(\alpha\)-admissible\({\alpha^\ast}\)-\({\psi}\)-contractive mappinggeneralized \({\alpha^\ast}\)-\({\psi}\)-contractive mapping

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 (23)

Fixed point of multivalued integral type of contraction mappings ⋮ Discussion on \(\alpha\)-strictly contractive nonself multivalued maps ⋮ Fixed point theorems for multi-valued mappings with a \(\phi \) function ⋮ Fixed points results for \(\alpha\)-admissible mapping of integral type on generalized metric spaces ⋮ On (α,ψ) Contractions of Integral Type on Generalized Metric Spaces ⋮ A relation-theoretic set-valued version of Prešić-Ćirić theorem and applications ⋮ A Short Survey on the Recent Fixed Point Results on $b$-Metric Spaces ⋮ An approach to existence of fixed points of generalized contractive multivalued mappings of integral type via admissible mapping ⋮ Best proximity point for \(\alpha\)-\(\psi\)-proximal contractive multimaps ⋮ Fixed point results for various \(\alpha\)-admissible contractive mappings on metric-like spaces ⋮ Fixed point theorems for multivalued mappings involving \(\alpha\)-function ⋮ The generalized weaker (\(\alpha\)-\(\phi\)-\(\varphi\))-contractive mappings and related fixed point results in complete generalized metric spaces ⋮ Pair (F,h) upper class and (\alpha ,\mu)-generalized multivalued rational type contractions ⋮ Fixed points of weakly compatible mappings satisfying a generalized common limit range property ⋮ On fixed points of \(\alpha\)-\(\psi\)-contractive multivalued mappings in cone metric spaces ⋮ Mizoguchi-Takahashi's fixed point theorem with \(\alpha\), \(\eta\) functions ⋮ Coupled best proximity point theorems for \(\alpha\)-\(\psi\)-proximal contractive multimaps ⋮ Fixed point results for multivalued mappings on a sequence in a closed ball with applications ⋮ On the effect of alfa-admissibility and Teta-contractivity to the existence of fixed points of multivalued mappings ⋮ Fixed point theorems for multivalued maps via new auxiliary function ⋮ Unnamed Item ⋮ PPF dependent fixed points of generalized contractive type mappings using C-class functions with an application ⋮ Fixed point theorems for quadruple self-mappings satisfying integral type inequalities

Cites Work

• On fixed points of \({\alpha}\)-\({\psi}\)-contractive multifunctions
• Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
• Mizoguchi-Takahashi's type fixed point theorem

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