참고문헌 (44)

1. J. Math. Soc. Jpn T Aoki 2 64 1950 10.2969/jmsj/00210064 Aoki T: On the stability of the linear transformation in Banach spaces. J. Math. Soc. Jpn. 1950, 2: 64-66. 10.2969/jmsj/00210064 

   상세보기

2. Real Anal. Exch LM Arriola 31 125 2005/06 10.14321/realanalexch.31.1.0125 Arriola LM, Beyer WA: Stability of the Cauchy functional equation over p -adic fields. Real Anal. Exch. 2005/06, 31: 125-132. 

   상세보기

3. H Azadi Kenary 2011 Rend. Circ. Mat. Palermo Azadi Kenary H: Stability of a pexiderial functional equation in random normed spaces. Rend. Circ. Mat. Palermo 2011. doi:10.1007/s12215-011-0027-5 

4. Int. J. Nonlinear Anal. Appl H Azadi Kenary 2 2 93 2011 Azadi Kenary H: Non-Archimedean stability of Cauchy-Jensen type functional equation. Int. J. Nonlinear Anal. Appl. 2011, 2(2):93-103. 

5. J. Math. Ext H Azadi Kenary 5 2 51 2011 Azadi Kenary H: Approximate additive functional equations in closed convex cone. J. Math. Ext. 2011, 5(2):51-65. 

6. J. Math. Ext H Azadi Kenary 4 1 105 2009 Azadi Kenary H: On the stability of a cubic functional equation in random normed spaces. J. Math. Ext. 2009, 4(1):105-113. 

7. H Azadi Kenary 2012 J. Appl. Math Azadi Kenary H, Rezaei H, Talebzadeh S, Lee SJ: Stabilities of cubic mappings in various normed spaces: direct and fixed point methods. J. Appl. Math. 2012., 2012: Article ID 546819. doi:10.1155/2012/546819 

8. H Azadi Kenary 2012 Math. Probl. Eng Azadi Kenary H, Rezaei H, Ebadian A, Zohdi AR: Hyers-Ulam-Rassias RNS approximation of Euler-Lagrange-type additive mappings. Math. Probl. Eng. 2012., 2012: Article ID 672531. doi:10.1155/2012/672531 

9. J. Nonlinear Sci. Appl H Azadi Kenary 4 1 82 2011 10.22436/jnsa.004.01.08 Azadi Kenary H, Shafaat K, Shafiee M, Takbiri G: Hyers-Ulam-Rassias stability of the Apollonius type quadratic mapping in RN-spaces. J. Nonlinear Sci. Appl. 2011, 4(1):82-91. 

   상세보기

10. L Cădariu 2003 J. Inequal. Pure Appl. Math Cădariu L, Radu V: Fixed points and the stability of Jensen’s functional equation. J. Inequal. Pure Appl. Math. 2003., 4(1): Article ID 4 

11. Aequ. Math PW Cholewa 27 76 1984 10.1007/BF02192660 Cholewa PW: Remarks on the stability of functional equations. Aequ. Math. 1984, 27: 76-86. 10.1007/BF02192660 

    상세보기

12. Bull. Korean Math. Soc J Chung 40 565 2003 10.4134/BKMS.2003.40.4.565 Chung J, Sahoo PK: On the general solution of a quartic functional equation. Bull. Korean Math. Soc. 2003, 40: 565-576. 

    원문보기 상세보기

13. S Czerwik 2002 Functional Equations and Inequalities in Several Variables 10.1142/4875 Czerwik S: Functional Equations and Inequalities in Several Variables. World Scientific, River Edge; 2002. 

    

14. Grazer Math. Ber L Cădariu 346 43 2004 Cădariu L, Radu V: On the stability of the Cauchy functional equation: a fixed point approach. Grazer Math. Ber. 2004, 346: 43-52. 

15. L Cădariu 2008 Fixed Point Theory Appl Cădariu L, Radu V: Fixed point methods for the generalized stability of functional equations in a single variable. Fixed Point Theory Appl. 2008., 2008: Article ID 749392 

16. Topol. Appl D Deses 153 774 2005 10.1016/j.topol.2005.01.010 Deses D: On the representation of non-Archimedean objects. Topol. Appl. 2005, 153: 774-785. 10.1016/j.topol.2005.01.010 

    상세보기

17. Bull. Am. Math. Soc J Diaz 74 305 1968 10.1090/S0002-9904-1968-11933-0 Diaz J, Margolis B: A fixed point theorem of the alternative for contractions on a generalized complete metric space. Bull. Am. Math. Soc. 1968, 74: 305-309. 10.1090/S0002-9904-1968-11933-0 

    상세보기

18. M Eshaghi-Gordji 2009 J. Inequal. Appl Eshaghi-Gordji M, Abbaszadeh S, Park C: On the stability of a generalized quadratic and quartic type functional equation in quasi-Banach spaces. J. Inequal. Appl. 2009., 2009: Article ID 153084 

19. M Eshaghi-Gordji 2009 Adv. Differ. Equ Eshaghi-Gordji M, Kaboli-Gharetapeh S, Park C, Zolfaghri S: Stability of an additive-cubic-quartic functional equation. Adv. Differ. Equ. 2009., 2009: Article ID 395693 

20. Aequ. Math W Fechner 71 149 2006 10.1007/s00010-005-2775-9 Fechner W: Stability of a functional inequality associated with the Jordan-von Neumann functional equation. Aequ. Math. 2006, 71: 149-161. 10.1007/s00010-005-2775-9 

    상세보기

21. J. Math. Anal. Appl P Gǎvruta 184 431 1994 10.1006/jmaa.1994.1211 Gǎvruta P: A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings. J. Math. Anal. Appl. 1994, 184: 431-436. 10.1006/jmaa.1994.1211 

    상세보기

22. Jahresber. Dtsch. Math.-Ver K Hensel 6 83 1897 Hensel K: Ubereine news Begrundung der Theorie der algebraischen Zahlen. Jahresber. Dtsch. Math.-Ver. 1897, 6: 83-88. 

23. Proc. Natl. Acad. Sci. USA DH Hyers 27 222 1941 10.1073/pnas.27.4.222 Hyers DH: On the stability of the linear functional equation. Proc. Natl. Acad. Sci. USA 1941, 27: 222-224. 10.1073/pnas.27.4.222 

    상세보기

24. DH Hyers 1998 Stability of Functional Equations in Several Variables 10.1007/978-1-4612-1790-9 Hyers DH, Isac G, Rassias TM: Stability of Functional Equations in Several Variables. Birkhäuser, Basel; 1998. 

    

25. Georgian Math. J AK Katsaras 6 33 1999 10.1023/A:1022926309318 Katsaras AK, Beoyiannis A: Tensor products of non-Archimedean weighted spaces of continuous functions. Georgian Math. J. 1999, 6: 33-44. 10.1023/A:1022926309318 

    상세보기

26. A Khrennikov 1997 Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models 10.1007/978-94-009-1483-4 Khrennikov A Mathematics and Its Applications 427. In Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models. Kluwer Academic, Dordrecht; 1997. 

    

27. Demonstr. Math Z Kominek 22 499 1989 Kominek Z: On a local stability of the Jensen functional equation. Demonstr. Math. 1989, 22: 499-507. 

28. J. Math. Anal. Appl S Lee 307 387 2005 10.1016/j.jmaa.2004.12.062 Lee S, Im S, Hwang I: Quartic functional equations. J. Math. Anal. Appl. 2005, 307: 387-394. 10.1016/j.jmaa.2004.12.062 

    상세보기

29. M Mohammadi 2010 J. Inequal. Appl Mohammadi M, Cho YJ, Park C, Vetro P, Saadati R: Random stability of an additive-quadratic-quartic functional equation. J. Inequal. Appl. 2010., 2010: Article ID 754210 

30. J. Math. Anal. Appl D Mihet 343 567 2008 10.1016/j.jmaa.2008.01.100 Mihet D, Radu V: On the stability of the additive Cauchy functional equation in random normed spaces. J. Math. Anal. Appl. 2008, 343: 567-572. 10.1016/j.jmaa.2008.01.100 

    상세보기

31. Chaos Solitons Fractals M Mursaleen 42 2997 2009 10.1016/j.chaos.2009.04.041 Mursaleen M, Mohiuddine SA: On stability of a cubic functional equation in intuitionistic fuzzy normed spaces. Chaos Solitons Fractals 2009, 42: 2997-3005. 10.1016/j.chaos.2009.04.041 

    상세보기

32. J. Differ. Equ. Appl A Najati 14 459 2008 10.1080/10236190701466546 Najati A, Park C:The pexiderized Apollonius-Jensen type additive mapping and isomorphisms between "Equation missing" -algebras. J. Differ. Equ. Appl. 2008, 14: 459-479. 10.1080/10236190701466546 

    상세보기

33. Topol. Appl PJ Nyikos 91 1 1999 10.1016/S0166-8641(97)00239-3 Nyikos PJ: On some non-Archimedean spaces of Alexandrof and Urysohn. Topol. Appl. 1999, 91: 1-23. 10.1016/S0166-8641(97)00239-3 

    상세보기

34. J. Comput. Appl. Math C Park 180 279 2005 10.1016/j.cam.2004.11.001 Park C: Generalized Hyers-Ulam-Rassias stability of n -sesquilinear-quadratic mappings on Banach modules over "Equation missing" -algebras. J. Comput. Appl. Math. 2005, 180: 279-291. 10.1016/j.cam.2004.11.001 

    상세보기

35. C Park 2007 Fixed Point Theory Appl Park C: Fixed points and Hyers-Ulam-Rassias stability of Cauchy-Jensen functional equations in Banach algebras. Fixed Point Theory Appl. 2007., 2007: Article ID 50175 

36. C Park 2008 Fixed Point Theory Appl Park C: Generalized Hyers-Ulam-Rassias stability of quadratic functional equations: a fixed point approach. Fixed Point Theory Appl. 2008., 2008: Article ID 493751 

37. Aequ. Math JC Parnami 43 211 1992 10.1007/BF01835703 Parnami JC, Vasudeva HL: On Jensen’s functional equation. Aequ. Math. 1992, 43: 211-218. 10.1007/BF01835703 

    상세보기

38. Fixed Point Theory V Radu 4 91 2003 Radu V: The fixed point alternative and the stability of functional equations. Fixed Point Theory 2003, 4: 91-96. 

39. Proc. Am. Math. Soc TM Rassias 72 297 1978 10.1090/S0002-9939-1978-0507327-1 Rassias TM: On the stability of the linear mapping in Banach spaces. Proc. Am. Math. Soc. 1978, 72: 297-300. 10.1090/S0002-9939-1978-0507327-1 

    상세보기

40. Aequ. Math J Rätz 66 191 2003 10.1007/s00010-003-2684-8 Rätz J: On inequalities associated with the Jordan-von Neumann functional equation. Aequ. Math. 2003, 66: 191-200. 10.1007/s00010-003-2684-8 

    상세보기

41. Comput. Math. Appl R Saadati 60 2488 2010 10.1016/j.camwa.2010.08.055 Saadati R, Park C:Non-Archimedean "Equation missing" -fuzzy normed spaces and stability of functional equations. Comput. Math. Appl. 2010, 60: 2488-2496. 10.1016/j.camwa.2010.08.055 

    상세보기

42. Chaos Solitons Fractals R Saadati 27 331 2006 10.1016/j.chaos.2005.03.019 Saadati R, Park JH: On the intuitionistic fuzzy topological spaces. Chaos Solitons Fractals 2006, 27: 331-344. 10.1016/j.chaos.2005.03.019 

    상세보기

43. Rend. Semin. Mat. Fis. Milano F Skof 53 113 1983 10.1007/BF02924890 Skof F: Local properties and approximation of operators. Rend. Semin. Mat. Fis. Milano 1983, 53: 113-129. 10.1007/BF02924890 

    상세보기

44. SM Ulam 1964 Problems in Modern Mathematics Ulam SM Science Editions. In Problems in Modern Mathematics. Wiley, New York; 1964.