Perturbation of solutions of the coincidence point problem for two mappings

DOI10.1134/S1064562414030247zbMath1318.54021OpenAlexW1979608066MaRDI QIDQ471387

Aram V. Arutyunov, Sergey Zhukovskiy

Publication date: 14 November 2014

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

Full work available at URL: https://doi.org/10.1134/s1064562414030247

zbMATH Keywords

Hausdorff distancecoincidence pointLipschitz mappingcovering mapping

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 (6)

Caristi's condition and existence of a minimum of a lower bounded function in a metric space. Applications to the theory of coincidence points ⋮ Metric subregularity of composition set-valued mappings with applications to fixed point theory ⋮ (q1,q2)-quasimetric spaces. Covering mappings and coincidence points. A review of the results ⋮ On the cardinality of the coincidence set for mappings of metric, normed and partially ordered spaces ⋮ Global and semilocal theorems on implicit and inverse functions in Banach spaces ⋮ Stability Theorems for Estimating the Distance to a Set of Coincidence Points

Cites Work

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• Stability of coincidence points and properties of covering mappings
• Covering mappings in metric spaces and fixed points
• On fixed point stability for set-valued contractive mappings with applications to generalized differential equations
• Implicit Functions and Solution Mappings
• On the Stability of the Linear Functional Equation

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