On the continuous dependence on the parameter of the set of solutions of the operator equation

DOI10.20537/2226-3594-2019-54-02OpenAlexW2998610306MaRDI QIDQ5134255

W. Merchela, Evgeny S. Zhukovskiy

Publication date: 16 November 2020

Published in: Izvestiya Instituta Matematiki i Informatiki. Udmurt. Gos. Univ. (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/iimi379

zbMATH Keywords

existence of solutionsmetric spaceoperator equationLipschitz mappingcovering mappingestimation of solutionscontinuous dependence of solution on parameters

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Special maps on metric spaces (54E40)

Related Items (3)

On stability and continuous dependence on parameter of the set of coincidence points of two mappings acting in a space with a distance ⋮ Comparison method for studying equations in metric spaces ⋮ On covering mappings in generalized metric spaces in studying implicit differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Theory of \((q_1,q_2)\)-quasimetric spaces and coincidence points
• On the well-posedness of differential equations unsolved for the derivative
• On coincidence points of multivalued vector mappings of metric spaces
• Perturbations of vectorial coverings and systems of equations in metric spaces
• Covering mappings and well-posedness of nonlinear Volterra equations
• Covering mappings and their applications to differential equations unsolved for the derivative
• Stability of coincidence points and properties of covering mappings
• Covering mappings in metric spaces and fixed points
• Locally covering maps in metric spaces and coincidence points
• Some mapping theorems
• LYUSTERNIK'S THEOREM AND THE THEORY OF EXTREMA
• Stability Theorems for Estimating the Distance to a Set of Coincidence Points

This page was built for publication: On the continuous dependence on the parameter of the set of solutions of the operator equation