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A fixed point approach to the stability of quadratic functional equation

김태수|이기석|정순모
대한수학회 (The Korean Mathematical Society)|2006.08|대한수학회보 (Bulletin of the KMS)|제43권 제3호|pp. 531-541

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Abstract

Cadariu and Radu applied the xed point method tothe investigation of Cauchy and Jensen functional equations. Inthis paper, we adopt the idea of Cadariu and Radu to prove theHyers-Ulam-Rassias stability of the quadratic functional equationfor a large class of functions from a vector space into a complete-normed space.

참고문헌 (16)

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  6. "Hyers-Ulam stability of functional equations in several variables", 50(1-2), pp.143~190 (1995)
  7. "On the stability of the linear functional equation", 27, pp.222~224 (1941)
  8. "Rassias,Stability of Functional Equations inSeveral Variables" (1998), Birkhauser
  9. "Hyers-Ulam-Rassias stability of functional equations", 6(4), pp.541~566 (1997)
  10. "On the Hyers-Ulam stability of the functional equations that have thequadratic property", 222(1), pp.126~137 (1998)
  11. "Hyers-Ulam-Rassias Stability of Functional Equations in MathematicalAnalysis" (2001), Hadronic Press
  12. "The xed point alternative and the stability of functional equations", 4(1), pp.91~96 (2003)
  13. "On the stability of the linear mapping in Banach spaces", pp.300~ (1978)
  14. "On the stability of functional equations and a problem of Ulam", 62(1), pp.23~30 (2000)
  15. "Proprieta locali e approssimazione di operatori", 53, pp.113~129ixedpointmethodandstabilityofquadraticequation541 (1983)
  16. "A Collection of Mathematical Problems Interscience Tracts in Pure and Applied Mathematics" (1960), Interscience Publisher 1960. Interscience Publisher

관련 논문AI추천

On the solution and stability of the quadratic type functional equations이은휘대한수학회 · 대한수학회논문집2004 · 제19권 제3호Hyers-Ulam-Rassias Stability of a Quadratic Functional EquationHARK-MAHN KIM, ICK-SOON CHANG경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2002 · 제42권 제1호Hyers-Ulam-Rassias stability of a quadratic functional equationTiberiu Trif대한수학회 · 대한수학회보2003 · 제40권 제2호A note on the Hyers-Ulam-Rassias stability of a quadratic equation강지형, 이양희, 이창주대한수학회 · 대한수학회보2004 · 제41권 제3호A fixed point approach to the stability of a quadratic-cubic functional equation이양희강원경기수학회 · 한국수학논문집2019 · 제27권 제2호Hyers-Ulam-Rassias stability of a quadratic type functionalequation전길웅, Sang Han Lee대한수학회 · 대한수학회보2003 · 제40권 제2호

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