Results and Problems in Ulam Stability of Operatorial Equations and Inclusions

DOI10.1007/978-1-4939-1286-5_15zbMath1311.39052OpenAlexW2162133269MaRDI QIDQ5249880

Ioan A. Rus

Publication date: 12 May 2015

Published in: Handbook of Functional Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-1286-5_15

zbMATH Keywords

differential equationsinclusionsoperational equationscoincidence pointUlam stability

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82)

Related Items (11)

A Class of Functional-Integral Equations with Applications to a Bilocal Problem ⋮ On a discussion of Volterra-Fredholm integral equation with discontinuous kernel ⋮ The Retraction-Displacement Condition in the Theory of Fixed Point Equation with a Convergent Iterative Algorithm ⋮ Stability of Picard operators under operator perturbations ⋮ Relevant classes of weakly Picard operators ⋮ Ulam Stability of Zero Point Equations ⋮ Graphic Contraction Principle and Applications ⋮ Fixed point results for decreasing convex orbital operators in Hilbert spaces ⋮ Fixed point theory in graph metric spaces ⋮ Continuity and sensitivity analysis of parameterized Nash games ⋮ Saturated contraction principles for non self operators, generalizations and applications

Cites Work

• Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
• Ulam-Hyers stability for operatorial equations and inclusions via nonself operators
• Iterative approximation of fixed points
• Hyers-Ulam stability for linear equations of higher orders
• Note on nonstability of the linear recurrence
• A fixed point approach to the stability of isometries
• Hyers-Ulam stability of linear partial differential equations of first order
• Mathematical problems and games
• On a modified Hyers-Ulam sequence
• Theory of difference equations: Numerical methods and applications
• On some inequalities and stability results related to the exponential function
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• \(K\)-metric and \(K\)-normed linear spaces: Survey
• Measures of noncompactness in metric fixed point theory
• One-dimensional functional equations
• The problem of S. M. Ulam for approximately multiplicative mappings
• On the stability of functional equations and a problem of Ulam
• On the stability of functional equations in Banach spaces
• Hyers-Ulam stability of linear differential equations of first order.
• Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen
• On the Hyers-Ulam stability of \(\psi\)-additive mappings
• On the stability of a functional equation deriving from an inequality of Popoviciu for convex functions
• Data dependence of the fixed point set of some multivalued weakly Picard operators.
• Stability of \(\Psi\)-additive mappings: Applications to nonlinear analysis
• On the stability of the linear functional equation in a single variable on complete metric groups
• On the Hyers-Ulam stability of linear mappings
• Legendre's differential equation and its Hyers-Ulam stability
• A fixed point approach to the stability of a Volterra integral equation
• Fixed points and Hyers--Ulam--Rassias stability of Cauchy--Jensen functional equations in Banach algebras
• Homomorphisms and derivations in proper \(JCQ^{*}\)-triples
• Hyers-Ulam stability of the linear recurrence with constant coefficients
• Hyers--Ulam stability of a generalized Apollonius type quadratic mapping
• Hyers--Ulam--Rassias stability of a linear recurrence
• Hyers-Ulam stability of linear differential equations of first order. III
• Generalized additive mapping in Banach modules and isomorphisms between \(C^{\ast}\)-algebras
• The Hyers-Ulam stability of nonlinear recurrences
• On the stability of the linear transformation in Banach spaces
• Ulam Stability of the Operatorial Equations
• Ulam-Hyers Stability for Operatorial Equations
• The space of (𝜓,𝛾)–additive mappings on semigroups
• Hyers-Ulam stability of first order linear partial differential equations with constant coefficients
• Implicit Functions and Solution Mappings
• Stability of functional equations in non-Archimedean spaces
• The Stability of Certain Functional Equations
• Stability of Isometries
• On the Stability of the Linear Mapping in Banach Spaces
• On the asymptoticity aspect of Hyers-Ulam stability of mappings
• HYERS-ULAM-RASSIAS STABILITY OF A QUADRATIC FUNCTIONAL EQUATION
• Fixed points for some non-obviously contractive operators
• HYERS-ULAM-RASSIAS STABILITY OF THE BANACH SPACE VALUED LINEAR DIFFERENTIAL EQUATIONS y′ = λy
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• Gronwall Lemma Approach to the Hyers–Ulam–Rassias Stability of an Integral Equation
• HYERS-ULAM-RASSIAS STABILITY OF A SYSTEM OF FIRST ORDER LINEAR RECURRENCES
• HYERS-ULAM STABILITY OF A CLOSED OPERATOR IN A HILBERT SPACE
• Generalized Hyers-Ulam stability of Riccati differential equation
• Classes of transformations and bordering transformations
• On approximate isometries
• Encyclopedia of Distances
• Approximate homomorphisms
• Stability of functional equations in several variables
• The stability of gradient-like methods
• On a problem of G. Isac and Th. M. Rassias concerning the stability of mappings
• Some further generalizations of the Hyers-Ulam-Rassias stability of functional equations

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