On set-valued contractions of Nadler type in cone metric spaces

DOI10.1016/j.aml.2010.10.003zbMath1206.54067OpenAlexW2047851589MaRDI QIDQ619818

Dariusz Wardowski

Publication date: 18 January 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.10.003

zbMATH Keywords

fixed pointordered Banach spacecone metric spaceset-valued contraction

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items

FIXED POINT THEOREMS AND DYNAMIC PROCESSES FOR SET-VALUED MAPS ON CONE METRIC SPACE ⋮ Common fixed point theorems for generalized multivalued contractions on cone metric spaces over a non-normal solid cone ⋮ Generalized Nadler type results in ultrametric spaces with applications to well-posedness ⋮ On set-valued contractions of Nadler type in tvs-\(G\)-cone metric spaces ⋮ Fixed point results in quasi-cone metric spaces ⋮ Mizoguchi-Takahashi-type theorems in tvs-cone metric spaces ⋮ Fixed points of a new type of contractive mappings in complete metric spaces ⋮ Fixed point theorems for set-valued contractions ⋮ Fixed and coupled fixed points of a new type set-valued contractive mappings in complete metric spaces ⋮ Fixed points and endpoints of contractive set-valued maps in cone uniform spaces with generalized pseudodistances ⋮ A generalization of set-valued Prešić-Reich type contractions in ultrametric spaces with applications ⋮ Set-valued contraction mappings of Prešić–Reich type in ultrametric spaces ⋮ On Nadler type results in ultrametric spaces with application to well-posedness ⋮ A note on tvs-cone metric fixed point theory ⋮ On fixed points of quasi-contraction type multifunctions ⋮ Common fixed point theorems for the stronger Meir-Keeler cone-type function in cone ball-metric spaces ⋮ A generalization of metric, normed, and unitary spaces ⋮ On some generalizations of metric, normed, and unitary spaces ⋮ Set-valued Prešić-Reich type mappings in metric spaces ⋮ GENERALIZED CONE METRIC SPACES AND ORDERED SPACES ⋮ Nadler mappings in cone \(b\)-metric spaces over Banach algebras ⋮ A note on the equivalence of some metric and \(H\)-cone metric fixed point theorems for multivalued contractions ⋮ Fixed point and common fixed point results in cone metric space and application to invariant approximation ⋮ GENERALIZED FIXED POINT THEOREMS IN CONE METRIC SPACES

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