Some results on fixed points of multifunctions on abstract metric spaces

DOI10.1016/j.mcm.2010.10.012zbMath1217.54055OpenAlexW1970272029MaRDI QIDQ552071

Zoran Kadelburg, Stojan Radenović

Publication date: 21 July 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2010.10.012

zbMATH Keywords

multifunctionsnormal conesymmetric spacecone metric spacenonnormal cone

Mathematics Subject Classification ID

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

Related Items (9)

Common fixed point theorems for generalized multivalued contractions on cone metric spaces over a non-normal solid cone ⋮ Unnamed Item ⋮ Fixed point theorems for set-valued contractions ⋮ Fixed point theorems for multivalued contractive mappings and multivalued Caristi type mappings in cone metric spaces ⋮ A note on tvs-cone metric fixed point theory ⋮ Fixed points and endpoints of set-valued contractions in cone metric spaces ⋮ Existence and uniqueness of common fixed points for two multivalued operators in ordered metric spaces ⋮ 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

Cites Work

• Quasi-contractions on symmetric and cone symmetric spaces
• Fixed point theory in cone metric spaces obtained via the scalarization method
• Dynamic processes and fixed points of set-valued nonlinear contractions in cone metric spaces
• Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings
• A note on cone metric fixed point theory and its equivalence
• Contractive multifunctions, fixed point inclusions and iterated multifunction systems
• Cone metric spaces and fixed point theorems of contractive mappings
• Endpoints and fixed points of set-valued contractions in cone metric spaces
• Fixed and periodic point results in cone metric spaces
• An order on subsets of cone metric spaces and fixed points of set-valued contractions
• \(K\)-metric and \(K\)-normed linear spaces: Survey
• Multi-valued contraction mappings in generalized metric spaces
• Fixed points of multifunctions on regular cone metric spaces
• Fixed Point of Multifunctions on Cone Metric Spaces
• A Generalization of Banach's Contraction Principle
• Newton’s Method for Convex Operators in Partially Ordered Spaces
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