논문KCI 등재
A Fixed Point Approach to the Stability of 3-Lie Homomorphisms and 3-Lie Derivations
4
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
Using the fixed point method, we prove the Hyers-Ulam stability of 3-Lie homomorphisms and 3-Lie derivations in 3-Lie algebras for Cauchy-Jensen functional equation.
Abstract
Using the fixed point method, we prove the Hyers-Ulam stability of 3-Lie homomorphisms and 3-Lie derivations in 3-Lie algebras for Cauchy-Jensen functional equation.
참고문헌 (17)
- T. Aoki, "On the stability of the linear transformation in Banach spaces", J. Math. Soc. Japan, 2, pp.64~66 (1950)
- L. Cxadariu, "Fixed points and the stability of Jensen's functional equation", J. Inequal. Pure Appl. Math, 4(1) (2003)
- L. Cxadariu, "On the stability of the Cauchy functional equation: a xed point approach", Grazer Math. Ber, 346, pp.43~52 (2004)
- L. Cadariu, "Fixed point methods for the generalized stability of functional equations in a single variable", Fixed Point Theory Appl (2008)
- J. Diaz, "A fixed point theorem of the alternative for contractions on a generalized complete metric space", Bull. Am. Math. Soc, 74, pp.305~309 (1968)
- I. EL-Fassi, "Generalized hyperstability of a Drygas functional equation on a restricted domain using Brzdek's fixed point theorem", J. Fixed Point Theory Appl, 19, pp.2529~2540 (2017)
- P. Gavruta, "A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings", J. Math. Anal. Appl, 184, pp.431~436 (1994)
- D.H. Hyers, "On the stability of the linear functional equation", Proc. Nat. Acad. Sci. U.S.A, 27, pp.222~224 (1941)
- G. Isac, "Stability of -additive mappings: Applications to nonlinear analysis", Internat. J. Math. Math. Sci, 19, pp.219~228 (1996)
- V. Keshavarz, "On the stability of 3-Lie homo-morphisms and 3-Lie derivations", J. Comput. Anal. Appl
- D. Mihet, "On the stability of the additive Cauchy functional equation in random normed spaces", J. Math. Anal. Appl, 343, pp.567~572 (2008)
- C. Park, "Fixed point method for set-valued functional equations", J. Fixed Point Theory Appl, 19, pp.2297~2308 (2017)
- V. Radu, "The fixed point alternative and the stability of functional equations", Fixed Point Theory, 4, pp.91~96 (2003)
- M. Rassias, "On the stability of the linear mapping in Banach spaces", Proc. Am. Math. Soc, 72, pp.297~300 (1978)
- S.M. Ulam, "A Collection of the Mathematical Problems" (1960), Interscience Publ
- A. Najati, "Stability of homomorphisms for a 3D CauchyJensen type functional equation on Cternary algebras", J. Math. Anal. Appl, 341, pp.62~79 (2008)
- H. Yuan, "Lie n superderivations and generalized Lie n superderivations of superalgebras", Open Math, 16, pp.196~209 (2018)
관련 논문AI추천
Stability of the Cauchy functional equation in Banach algebras박춘길, 이정례강원경기수학회 · 한국수학논문집2009 · 제17권 제1호A FIXED POINT APPROACH TO THE STABILITY OF QUARTIC LIE *-DERIVATIONS강동승, 고희정강원경기수학회 · 한국수학논문집2016 · 제24권 제4호Lie bracket Jordan derivations in Banach Jordan algebras이정례, Siriluk Paokanta한국수학교육학회 · 이론수학과 교직수학2021 · 제28권 제2호Stability of the Jensen type functional equation in Banach algebras: a fixed point approach박원길, 박춘길, 이정례, Themistocles M. Rassias강원경기수학회 · 한국수학논문집2011 · 제19권 제2호APPROXIMATE BIHOMOMORPHISMS AND BIDERIVATIONS IN 3-LIE ALGEBRAS: REVISITED서정필, 신동윤, 이정례한국수학교육학회 · 이론수학과 교직수학2017 · 제24권 제2호Stability of $(\alpha ,\beta ,\gamma)$-derivations on Lie C$^{}$-algebra associated to a Pexiderized quadratic type functional equationNasrin Eghbali, Somayeh Hazrati대한수학회 · 대한수학회논문집2016 · 제31권 제1호
이 간행물의 다른 논문 (8건)
Some Ćiric Type Fixed Point Results in non-Archimedean Modular Metric SpacesHODA HOSSEINI, Majid Eshaghi Gordjipp. 215-231On Cyclic Polygroups of Order less than Six and Period TwoM.R. KHERADMAND, B.Davvazpp. 233-245On the Hyers-Ulam-Rassias Stability of an Additive-cubic-quartic Functional Equation이양희pp. 247-254(L,*,⊙)-quasiuniform Convergence SpacesJung Mi Ko, Yong Chan Kimpp. 255-265A Fixed Point Approach to the Stability of an Additive-cubic-quartic Functional Equation이양희pp. 267-276
