The coincidence point problem for set-valued mappings and Ulam-Hyers stability

DOI10.1134/S1064562414020197zbMath1419.54046OpenAlexW2074628050MaRDI QIDQ461904

Aram V. Arutyunov

Publication date: 15 October 2014

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562414020197

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (9)

On the continuity of inverse mappings for Lipschitz perturbations of covering mappings ⋮ Ekeland variational principle in complete weakly symmetric (1, q₂)-quasimetric spaces and applications ⋮ Uniform estimates of distances to a coincidence point set ⋮ Existence and uniqueness theorems for the Pfaff equation with continuous coefficients ⋮ On the cardinality of the coincidence set for mappings of metric, normed and partially ordered spaces ⋮ Pseudo-contractivity and metric regularity in fixed point theory ⋮ On coincidence points of multivalued vector mappings of metric spaces ⋮ Perturbations of vectorial coverings and systems of equations in metric spaces ⋮ Stability Theorems for Estimating the Distance to a Set of Coincidence Points

Cites Work

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• Existence and Ulam-Hyers stability results for multivalued coincidence problems
• Regularity on a Fixed Set
• Variational Analysis and Generalized Differentiation I
• On the Stability of the Linear Functional Equation

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