Generalized contraction mapping principle in intuitionistic menger spaces and application to differential equations

DOI10.1007/S10483-007-0610-ZzbMath1231.46021OpenAlexW2084637311MaRDI QIDQ940324

Atakan T. Yakut, Servet Kutukcu, Adnan Tuna

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-007-0610-z

zbMATH Keywords

generalized contraction mappingintuitionistic menger normed spaceintuitionistic menger spaceintuitionistic probabilistic bounded set

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Fixed-point and coincidence theorems (topological aspects) (54H25) Functional analysis in probabilistic metric linear spaces (46S50)

Related Items (7)

On nonlinear stability in various random normed spaces ⋮ Intuitionistic Menger inner product spaces and applications to integral equations ⋮ Intuitionistic random almost additive-quadratic mappings ⋮ The stability of the quartic functional equation in various spaces ⋮ Common Fixed Point Theory in Modified Intuitionistic Probabilistic Metric Spaces with Common Property (E.A.) ⋮ General solution and stability of additive-quadratic functional equation in IRN-space ⋮ Stability of a cubic functional equation in intuitionistic random normed spaces

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• Generalized contraction mapping principles in probabilistic metric spaces
• Generalized contraction mapping principle and differential equations in probabilistic metric spaces
• Statistical Metrics
• On some results in fuzzy metric spaces

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