Extensions of Banach contraction principle to partial cone metric spaces over a non-normal solid cone

DOI10.1186/1687-1812-2013-250zbMath1295.54057OpenAlexW2141436293WikidataQ59302064 ScholiaQ59302064MaRDI QIDQ401907

Shujun Jiang, Zhilong Li

Publication date: 27 August 2014

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-250

zbMATH Keywords

fixed pointspectral radiuspartial cone metric space

Mathematics Subject Classification ID

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

Related Items (12)

Fixed point theorems of order-Lipschitz mappings in Banach algebras ⋮ A note on partial metric type structures and metric type structures ⋮ Suzuki's type fixed point theorems for generalized mappings in partial cone metric spaces over a solid cone ⋮ Fixed point theorems of generalized Lipschitz mappings on cone metric spaces over Banach algebras without assumption of normality ⋮ Fixed points of sequence of Ćirić generalized contractions of Perov type ⋮ Common fixed point theorems of contractions in partial cone metric spaces over nonnormal cones ⋮ Fixed point theorems of nondecreasing order-Ciric-Lipschitz mappings in normed vector spaces without normalities of cones ⋮ On order-Lipschitz mappings in Banach spaces without normalities of involving cones ⋮ Nonlinear quasi-contractions in non-normal cone metric spaces ⋮ Quasi-contractions restricted with linear bounded mappings in cone metric spaces ⋮ Common fixed point theorems for cyclic contractive mappings in partial cone b-metric spaces and applications to integral equations ⋮ On the equivalence between Perov fixed point theorem and Banach contraction principle

Cites Work

• On cone metric spaces: a survey
• Contraction and approximate contraction with an application to multi- point boundary value problems
• A note on cone metric fixed point theory and its equivalence
• Cone metric spaces and fixed point theorems of contractive mappings
• Fixed point theorem for two non-self mappings in cone metric spaces
• Common fixed point theorems for weakly compatible pairs on cone metric spaces
• Strict contractive conditions and common fixed point theorems in cone metric spaces
• Assad-Kirk-type fixed point theorems for a pair of nonself mappings on cone metric spaces
• Remarks on ``Quasi-contraction on a cone metric space
• Nonlinear constractions in abstract spaces
• Nonlinear contractive conditions for coupled cone fixed point theorems
• Partial Metric Topology
• Some fixed point results on weak partial metric spaces
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