A generalised fixed point theorem of Presic type in cone metric spaces and application to Markov process

DOI10.1186/1687-1812-2011-85zbMath1312.54021OpenAlexW2165967902WikidataQ59267702 ScholiaQ59267702MaRDI QIDQ359921

Reny George, K. P. Reshma, Ramaswamy Rajagopalan

Publication date: 23 August 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2011-85

zbMATH Keywords

cone metric spaceweakly compatiblecoincidence and common fixed pointsPrešić type mapping

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (17)

Some fixed point theorems for Prešić-Hardy-Rogers type contractions in metric spaces ⋮ Some generalized fixed point results in a \(b\)-metric space and application to matrix equations ⋮ Unnamed Item ⋮ Set-valued contraction mappings of Prešić–Reich type in ultrametric spaces ⋮ Survey on Metric Fixed Point Theory and Applications ⋮ Some Presic Type Results in $b-$Dislocated Metric Spaces ⋮ Unnamed Item ⋮ A generalization of Prešić type mappings in 0-complete ordered partial metric spaces ⋮ A generalization of Prešić type mappings in metric-like spaces ⋮ Prešić type results in 2-Banach spaces ⋮ Approximation and stability of common fixed points of Prešić type mappings in ultrametric spaces ⋮ Some coincidence and common fixed point theorems for ordered Prešić-Reich type contractions ⋮ \(G\)-Prešić operators on metric spaces endowed with a graph and fixed point theorems ⋮ Set-valued \(G\)-Prešić operators on metric spaces endowed with a graph and fixed point theorems ⋮ Set-valued Prešić-Reich type mappings in metric spaces ⋮ α-admissible Prešić type operators and fixed points ⋮ Generalised Presic type operators in modular metric space and an application to integral equations of Caratheodory type functions

Cites Work

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• Boyd-Wong-type common fixed point results in cone metric spaces
• A note on the equivalence of some metric and cone metric fixed point results
• On cone metric spaces: a survey
• Cone metric spaces and fixed point theorems of contractive mappings
• Some notes on the paper ``Cone metric spaces and fixed point theorems of contractive mappings
• Some extensions of Banach's contraction principle in complete cone metric spaces
• Fixed and periodic point results in cone metric spaces
• \(\varphi\)-pairs and common fixed points in cone metric spaces
• Weakly \(\varphi \)-pairs and common fixed points in cone metric spaces
• A note on Stone's, Baire's, Ky Fan's and Dugundji's theorem in tvs-cone metric spaces
• Common fixed points in cone metric spaces
• Common fixed point results for noncommuting mappings without continuity in cone metric spaces
• Common fixed points for maps on cone metric space

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