Fixed points and stability of an additive functional equation of \(n\)-Apollonius type in \(C^{\ast}\)-algebras

DOI10.1155/2008/672618zbMath1159.47032OpenAlexW2020809176WikidataQ58644384 ScholiaQ58644384MaRDI QIDQ949051

Fridoun Moradlou, Hamid Vaezi, Chun-Gil Park

Publication date: 16 October 2008

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55286

zbMATH Keywords

Hopf bifurcationdelay equationscenter manifolddual semigroupprinciple of linearized stabilityphysiologically structured populationsLipschitz perturbationssun-star-calculus

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Topological algebras, normed rings and algebras, Banach algebras (46H99)

Related Items (5)

Hypers-Ulam-Rassias stability of a quadratic and additive functional equation in quasi-Banach spaces ⋮ Nonlinear approximation of an ACQ-functional equation in NAN-spaces ⋮ A fixed point approach to the stability of an AQ-functional equation on \(\beta\)-Banach modules ⋮ Stability of functional equations of \(n\)-Apollonius type in fuzzy ternary Banach algebras ⋮ Generalized Hyers-Ulam stability for general additive functional equations on non-Archimedean random lie C*-algebras

Cites Work

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• On the generalized Ulam-Gavruta-Rassias stability of mixed-type linear and Euler-Lagrange-Rassias functional equations
• A result of Tosio Aoki about a generalization of Hyers-Ulam stability of additive functions -- a question of priority
• Generalized Hyers-Ulam stability of quadratic functional equations: a fixed point approach
• A fixed point approach to the stability of a functional equation of the spiral of Theodorus
• Stability of an Euler-Lagrange-Rassias equation in the spaces of generalized functions
• Solution of a problem of Ulam
• On approximation of approximately linear mappings by linear mappings
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• The problem of S. M. Ulam for approximately multiplicative mappings
• On the stability of functional equations in Banach spaces
• Homomorphisms between Poisson JC*-algebras
• On a general Hyers-Ulam stability result
• On the stability of the linear mapping in Banach modules
• Homomorphisms in \(C^{*}\)-ternary algebras and \(JB^{*}\)-triples
• Hyers-Ulam stability of an \(n\)-Apollonius type quadratic mapping
• Fixed points and Hyers--Ulam--Rassias stability of Cauchy--Jensen functional equations in Banach algebras
• Hyers--Ulam stability of a generalized Apollonius type quadratic mapping
• Generalization of Ulam stability problem for Euler-Lagrange quadratic mappings
• On the stability of the linear transformation in Banach spaces
• On the Hyers-Ulam-Rassias stability of a pexiderized quadratic inequality
• STABILITY OF THE EULER-LAGRANGE-RASSIAS FUNCTIONAL EQUATION
• Proprieta’ locali e approssimazione di operatori
• On the Stability of the Linear Mapping in Banach Spaces
• On an approximate automorphism on a $C^{*}$-algebra
• Hyers–Ulam–Rassias stability of a generalized Apollonius–Jensen type additive mapping and isomorphisms between C *‐algebras
• A fixed point theorem of the alternative, for contractions on a generalized complete metric space
• Classes of transformations and bordering transformations
• On the Stability of the Linear Functional Equation
• On the stability of the quadratic mapping in normed spaces

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