Generalized fixed point theorems for multi-valued \(\alpha\)-\(\psi\)-contractive mappings

DOI10.1186/1029-242X-2014-348zbMath1347.54084OpenAlexW2095603821WikidataQ59320963 ScholiaQ59320963MaRDI QIDQ260431

Akbar Azam, Jamshaid Ahmad, Nawab Hussain

Publication date: 21 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2014-348

zbMATH Keywords

fixed pointmetric space\(\alpha\)-\(\psi\)-contraction

Mathematics Subject Classification ID

Complete metric spaces (54E50) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Graph theory (05C99)

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Cites Work

• On fixed points of \({\alpha}\)-\({\psi}\)-contractive multifunctions
• Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
• Fixed point theorems for Reich type contractions on metric spaces with a graph
• Common fixed point results for four mappings satisfying almost generalized (S, T)-contractive condition in partially ordered metric spaces
• Fixed point theorems in ordered Banach spaces and applications to nonlinear integral equations
• Common fixed points of almost generalized contractive mappings in ordered metric spaces
• Fixed point theorems in \(\mathbb R\)-trees with applications to graph theory
• Fixed point theorems for multivalued mappings on complete metric spaces
• On fixed points of \(\alpha\)-\(\psi\)-contractive multivalued mappings in cone metric spaces
• Multivalued fixed point theorems in cone \(b\)-metric spaces
• Modified \(\alpha\)-\(\psi\)-contractive mappings with applications
• Some new fixed point results in partial ordered metric spaces via admissible mappings
• Fixed points of a sequence of locally contractive multivalued maps
• Fixed points for \((\varphi,\psi,p)\)-weakly contractive mappings in metric spaces with image-distance
• Set-valued Hardy-Rogers type contraction in 0-complete partial metric spaces
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• Multi-valued contraction mappings
• \({\alpha}\)-admissible mappings and related fixed point theorems

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