Perturbations of vectorial coverings and systems of equations in metric spaces

DOI10.1134/S0037446616020063zbMath1353.54020OpenAlexW2408152404MaRDI QIDQ530271

Evgeny S. Zhukovskiy

Publication date: 29 July 2016

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446616020063

zbMATH Keywords

coveringperturbationmetric spacesimultaneous operator equations

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (7)

Kantorovich's fixed point theorem and coincidence point theorems for mappings in vector metric spaces ⋮ Inclusions with mappings acting from a metric space to a space with distance ⋮ On operator inclusions in spaces with vector-valued metrics ⋮ Coincidence points of mappings in vector metric spaces with applications to differential equations and control systems ⋮ On the continuous dependence on the parameter of the set of solutions of the operator equation ⋮ Applications of covering mappings in the theory of implicit differential equations ⋮ On fixed points of multivalued mappings in spaces with a vector-valued metric

Cites Work

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• Covering mappings in a product of metric spaces and boundary value problems for differential equations unsolved for the derivative
• On the well-posedness of differential equations unsolved for the derivative
• The coincidence point problem for set-valued mappings and Ulam-Hyers stability
• Coincidence points of two maps
• Covering mappings and well-posedness of nonlinear Volterra equations
• Covering mappings and their applications to differential equations unsolved for the derivative
• Covering mappings in metric spaces and fixed points
• Locally covering maps in metric spaces and coincidence points
• On controlling objects whose motion is defined by implicit nonlinear differential equations

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