논문KCI 등재
A Fixed Point Approach to Stability of Quintic Functional Equations in Modular Spaces
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In this paper, we present a fixed point method to prove generalized Hyers--Ulam stability of the systems of quadratic-cubic functional equations with constant coefficients in modular spaces.
Abstract
In this paper, we present a fixed point method to prove generalized Hyers--Ulam stability of the systems of quadratic-cubic functional equations with constant coefficients in modular spaces.
참고문헌 (59)
- J. Aczel., "Functional Equations in Several Variables" (1989), Cambridge University Press
- T. Aoki, "On the stability of the linear transformation in Banach spaces", J. Math. Soc. Japan, 2, pp.64~66 (1950)
- P. W. Cholewa, "Remarks on the stability of functional equations", Aequat. Math, 27, pp.76~86 (1984)
- Jukang K. Chung, "On the general solution of a quartic functional equation", 대한수학회보, 40(4), pp.565~576 (2003), 대한수학회
- S. Czerwik, "On the stability of the quadratic mapping in normed spaces", Abh. Math. Sem. Univ. Hamburg, 62, pp.59~64 (1992)
- S. Czerwik, "Functional Equations and Inequalities in Several Variables" (2002), World Scien- ti¯c
- A. Ebadian., "On approximate additive-quartic and quadratic-cubic functional equations in two variables on abelian groups", Results. Math. (2010)[DOI]
- A. Ebadian., "A ¯xed point method for perturbation of bimultipliers and Jordan bimultipliers in C¤-ternary algebras", J. Math. Phys., 51, pp.10~ (2010)[DOI]
- Z. Gajda, "On stability of additive mappings", Internat. J. Math. Math. Sci, 14, pp.431~434 (1991)
- P. G·avruta, "A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings", J. Math. Anal. Appl, 184, pp.431~436 (1994)
- P. G·avruta., "A new method for the generalized Hyers-Ulam-Rassias stability", Int. J. Nonlinear Anal. Appl, 1, pp.11~18 (2010)
- Mohammad Bagher Ghaemi, "on the probabilistic normed spaces", 대한수학회보, 49(2), pp.339~352 (2012), 대한수학회
- Madjid Eshaghi Gordji, "STABILITY OF A FUNCTIONAL EQUATION DERIVING FROM QUARTIC AND ADDITIVE FUNCTIONS", 대한수학회보, 47(3), pp.491~502 (2010), 대한수학회
- M. Eshaghi Gordji., "Approximately quintic and sextic mappings from r-divisible groups into Serstnev probabilistic Banach spaces: ¯xed point method", Discrete Dynamics in Nature and Society, pp.16~ (2011)
- M. E. Gordji., "Stability of a mixed type cubic-quartic functional equation in non-Archimedean spaces", Appl. Math. Lett, 23, pp.1198~1202 (2010)
- M. E. Gordji., "On the stability of J¤-derivations", J. Geom. Phys, 60, pp.454~459 (2010)
- M. E. Gordji., "Stability of an additive- cubic-quartic functional equation", Advances in Di®er. Equat., 2009, pp.20~
- M. E. Gordji., "Solution and stability of a mixed type additive, quadratic and cubic functional equation", Advances in di®er. equat, 2009, pp.17~[DOI]
- M. E. Gordji., "Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces", Nonlinear Anal, 71, pp.5629~5643 (2009)
- M. E. Gordji., "On the generalized Hyers-Ulam-Rassias stability of quadratic functional equations", Abstr. Appl. Anal, pp.11~ (2009)
- M. E. Gordji., "The ¯xed point method for fuzzy approximation of a functional equation associated with inner product spaces", Discr. Dynam. in Nature and Soc., 2010, pp.15~[DOI]
- M. E. Gordji., "General quartic-cubic-quadratic func-tional equation in non-Archimedean normed spaces", U. P. B. Sci. Bull., Series A, 72, pp.69~84 (2010)
- M. E. Gordji., "Approximately J¤-homomorphisms : A ¯xed point ap-proach", J. Geom. Phys, 60, pp.809~814 (2010)
- D. H. Hyers, "On the stability of the linear functional equation", Proc. Natl. Acad. Sci. USA, 27, pp.222~224 (1941)
- D. H. Hyers., "Approximate homomorphisms", Aeq. Math, 44, pp.125~153 (1992)
- D. H. Hyers., "Stability of Functional Equations in Several Variables" (1998), BirkhÄauser
- G. Isac., "On the Hyers-Ulam stability of áadditive mappings", J. Approx. Theory, 72, pp.131~137 (1993)
- G. Isac., "Stability of áadditive mappings : Applications to non linear analysis", Internat. J. Math. and Math. Sci, 19(2), pp.219~228 (1996)
- K. W. Jun., "cubic functional equation", J. Math. Anal. Appl, 274, pp.867~878 (2002)
- K. W. Jun., "On the Hyers-Ulam stability of an Euler-Lagrange type cubic functional equation", J. Comput. Anal. Appl, 7, pp.21~33 (2005)
- S. M. Jung, "Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis" (2001), Hadronic Press Inc.
- S. M. Jung, "Hyers-Ulam-Rassias stability of Jensen's equation and its application", Proc. Amer. Math. Soc, 126, pp.3137~3143 (1998)
- S. M. Jung, "Stability of the quadratic equation of Pexider type", Abh. Math. Sem. Univ. Hamburg, 70, pp.175~190 (2000)
- P. Kannappan, "Quadratic functional equation and inner product spaces", Results Math, 27, pp.368~372 (1995)
- M. A. Khamsi, "Quasicontraction Mapping in modular spaces without ¢2{condition", Fixed Point Theory and Applications, 2008, pp.6~ (2008)
- H. Khodaei., "Approximately generalized additive functions in sev-eral variables", Int. J. Nonlinear Anal. Appl, 1, pp.22~41 (2010)
- S. Koshi., "On F-norms of quasi-modular spaces", J. Fac. Sci. Hokkaido Univ. Ser. I, 15(3), pp.202~218 (1961)
- M. Krbec, "Modular interpolation spaces", Z. Anal. Anwendungen, 1, pp.25~40 (1982)
- S. H. Lee., "Quartic functional equation", J. Math. Anal. Appl, 307, pp.387~394 (2005)
- W. A. Luxemburg, "Banach function spaces", 박사, pp.1959
- L. Maligranda, "Seminars in Math., Vol. 5" (1989), Univ. of Campinas
- J. Musielak, "Lecture Notes in Math. Vol. 1034", pp.1983~, Springer-verlag
- Abbas Najati, "Hyers-Ulam-Rassias Stability of a Cubic Functional Equation", 대한수학회보, 44(4), pp.825~840 (2007), 대한수학회
- H. Nakano, "Tokyo Math. Book Ser., Vol. 1" (1950), Maruzen Co.
- W. Orlicz, "Collected Papers, Vols. I, II" (1988), PWN
- C. Park, "On an approximate automorphism on a C¤-algebra", Proc. Amer. Math. Soc, 132, pp.1739~1745 (2004)
- C. Park., "Comment on Approximate ternary Jordan derivations on Banach ternary algebras", J. Math. Phys, 51, pp.044102~ (2010)
- C. Park., "Generalized additive functional inequalities in Banach algebras", Int. J. Nonlinear Anal. Appl, 1, pp.54~62 (2010)
- C. Park., "Isomorphisms in unital C¤-algebras", Int. J. Nonlinear Anal. Appl, 1, pp.1~10 (2010)
- C. Park, "Stability of the Jensen-type functional equation in C¤- algebras: a ¯xed point approach, Abstr", Appl. Anal, 2009, pp.17~ (2009)
- Th. M. Rassias, "On the stability of the linear mapping in Banach spaces", Proc. Amer. Math. Soc, 72, pp.297~300 (1978)
- Th. M. Rassias, "On the stability of functional equations in Banach spaces", J. Math. Anal. Appl, 251(1), pp.264~284 (2000)
- Th. M. Rassias., "On the behaviour of mappings which do not satisfy Hyers-Ulam stability", Proc. Amer. Math. Soc, 114, pp.989~993 (1992)
- Gh. Sadeghi, "A ¯xed point approach to stability of functional equations in modular spaces", Bull. Malays. Math. Sci. Soc.
- Gh. Sadeghi, "On the orthogonal stability of the pexiderized quadratic equations in modular spaces"
- F. Skof, "Propriet locali e approssimazione di operatori", Rend. Sem. Mat. Fis. Milano, 53, pp.113~129 (1983)
- Ph. Turpin, "Fubini inequalities and bounded multiplier property in generalized modular spaces", Comment. Math., Tomus specialis in honorem Ladislai Orlicz I, 33, pp.1~353 (1978)
- S. M. Ulam, "Problems in Modern Mathematics, Chapter VI" (1964), Wiley
- S. Yamamuro, "On conjugate spaces of Nakano spaces", Trans. Amer. Math. Soc, 90, pp.291~311 (1959)
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