Some generalizations of fixed point theorems in partially ordered metric spaces and applications to partial differential equations with uncertainty

DOI10.1007/S10013-017-0254-YzbMath1497.54051OpenAlexW2745291901MaRDI QIDQ723418

Nguyen Thi Kim Son, Hoang Viet Long, Rosana Rodríguez-López

Publication date: 31 July 2018

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-017-0254-y

zbMATH Keywords

contractive-like mapping principlefuzzy partial hyperbolic differential equationsgeneralized Hukuhara derivativeswell-posed boundary value problems

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Fuzzy partial differential equations (35R13)

Related Items (8)

On asymptotic stable solutions of a quadratic Erdélyi-Kober fractional functional integral equation with linear modification of the arguments ⋮ Applications of generalized fixed points theorems to the existence of uncertain differential equations with finite delay ⋮ Applications of generalized fixed points theorems to the existence of uncertainly hyperbolic partial differential equations with finite delay ⋮ Uncertain fractional evolution equations with non-Lipschitz conditions using the condensing mapping approach ⋮ Fuzzy partial differential equations under the cross product of fuzzy numbers ⋮ Generalized contraction principle under relatively weaker contraction in partial metric spaces ⋮ An extension of Krasnoselskii's fixed point theorem and its application to nonlocal problems for implicit fractional differential systems with uncertainty ⋮ A new Jacobi tau method for fuzzy fractional Fredholm nonlinear integro-differential equations

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