논문KCI 등재
Stability of Mixed Type Functional Equations with Involution in Non-Archimedean Spaces
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper, we consider the generalized Hyers-Ulam stabil- ity for the following additive-quadratic functional equation with involutionf(x+2y)−f(2x+y)+f(x+y)+f(σ(x)+y)+f(x)−4f(y)−f(σ(y)) = 0 in non-Archimedean spaces.
Abstract
In this paper, we consider the generalized Hyers-Ulam stabil- ity for the following additive-quadratic functional equation with involutionf(x+2y)−f(2x+y)+f(x+y)+f(σ(x)+y)+f(x)−4f(y)−f(σ(y)) = 0 in non-Archimedean spaces.
참고문헌 (13)
- T. Aoki, "On the stability of the linear transformation in Banach space", J. Math. Soc. Japan, 2, pp.64~66 (1950)[DOI]
- B. Boukhalene, "On the generalized Hyers-Ulam stability of the quadratic functional equation with a general involution", Nonlinear Funct. Anal. Appl., 12, pp.247~262 (2007)
- B. Boukhalene, "On the Hyers-Ulam stability of approximately pexider mappings", Math. Ineqal. Appl., 11, pp.805~818 (2008)
- P.W.Cholewa, "Remarkes on the stability of functional equations", Aequationes Math., 27, pp.76~86 (1984)[DOI]
- S. Czerwik, "On the stability of the quadratic mapping in normed spaces", Abh. Math. Sem. Univ. Hamburg, 62, pp.59~64 (1992)[DOI]
- J. B. Diaz, "A fixed point theorem of the alternative, for contractions on a generalized complete metric space", Bulletin of the American Mathematical Society, 74, pp.305~309 (1968)[DOI]
- P. Gavruta, "A generalization of the Hyer-Ulam-Rassias stability of approximately additive mappings", J. Math. Anal. Appl., 184, pp.431~436 (1994)[DOI]
- D. H. Hyers, "On the stability of the linear functional equation", Proc. Nat. Acad. Sci., 27, pp.222~224 (1941)[DOI]
- S. M. Jung, "A fixed point approach to the stability of quadratic functional equation with involution", Fixed Point Theory Appl. (2008)
- Th. M. Rassias, "On the stability of the linear mapping in Banach sapces", Proc. Amer. Math. Sco., 72, pp.297~300 (1978)[DOI]
- F. Skof, "Proprieta locali e approssimazione di operatori", Rend. Sem. Mat. Fis. Milano, 53, pp.113~129 (1983)[DOI]
- H. Stetkaer, "Functional equations on abelian groups with involution", Aequationes Math., 54, pp.144~172 (1997)[DOI]
- S. M. Ulam, "A collection of mathematical problems" (1960), Interscience Publ.
관련 논문AI추천
The Hyers-Ulam stability of a quadratic functional equation with involution in paranormed spaces김창일, 신창협강원경기수학회 · 한국수학논문집2016 · 제24권 제1호On the Stability of a General Quadratic-Cubic Functional Equation in Non-Archimedean Normed Spaces이양희영남수학회 · East Asian Mathematical Journal2019 · 제35권 제3호Stability of Quartic Mappings in Non-Archimedean Normed SpacesAlireza Kamel Mirmostafaee경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제2호On the Stability of a Mixed Type Functional Equation이양희, 정순모경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제1호Solution and stability of a functional equation deriving from additive, quadratic and quartic in quasi-Banach spaces박춘길, Mohammad Golestani, Norouz Ghobadipour강원경기수학회 · 한국수학논문집2025 · 제33권 제4호A Fixed Point Approach to the Orthogonal Stability of Mixed Type Functional Equations김창일, 전영주영남수학회 · East Asian Mathematical Journal2015 · 제31권 제5호
이 간행물의 다른 논문 (14건)
Parametrized Perturbation Results on Global Positive Solutions for Elliptic Equations Involving Critical Sobolev-Hardy Exponents and Hardy Terems김완세pp. 549-570The Cohen Type Theorem for S-*w-Principal Ideal Domains임정욱pp. 571-575Representations of Subharmonic Hardy Functions in the Complex Ball박종희, 권언근pp. 577-585Non-Hopfian SQ-Universal Groups이동희pp. 587-595Further Extension of Two Results Involving ${}_0F_1$ due to Bailey최준상, Arjun Kumar Rathie, Prathima J, Frederick Grothpp. 597-600