On the stability of pexider functional equation in non-archimedean spaces

详细信息    查看全文

• 作者：Reza Saadati (1)
  Seiyed Mansour Vaezpour (2)
  Zahra Sadeghi (1)
  
• 关键词：Hyers ; Ulam stability of functional equation ; Non ; Archimedean space ; Quadratic ; Cauchy and Pexider functional equations
• 刊名：Journal of Inequalities and Applications
• 出版年：2011
• 出版时间：December 2011
• 年：2011
• 卷：2011
• 期：1
• 全文大小：312KB
• 参考文献：1. Ulam SM: / Problems in Modern Mathematics, Chapter IV, Science Editions. Wiley, New York; 1960.
  2. Hyers DH: On the stability of the linear functional equation. / Proc Nat Acad Sci USA 1941, 27:222-24. CrossRef
  3. Aoki T: On the stability of the linear transformation in Banach spaces. / J Math Soc Jpn 1950, 2:64-6. CrossRef
  4. Rassias THM: On the stability of the linear mapping in Banach spaces. / Proc Am Math Soc 1978, 72:297-00. CrossRef
  5. Moszner Z: On the stability of functional equations. / Aequationes Math 2009, 77:33-8. CrossRef
  6. Czerwik S: / Functional Equations and Inequalities in Several Variables. World Scientific, River Edge, NJ; 2002. CrossRef
  7. Hyers DH, Isac G, Rassias THM: / Stability of Functional Equations in Several Variables. Birkh?user, Basel; 1998.
  8. Jung SM: / Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis. Hadronic Press, Palm Harbor; 2001.
  9. Rassias TM: On the stability of functional equations and a problem of Ulam. / Acta Appl Math 2000, 62:23-30. CrossRef
  10. Rassias THM: / Functional Equations, Inequalities and Applications. Kluwer Academic Publishers, Dordrecht; 2003.
  11. Ciepliński K: Generalized stability of multi-additive mappings. / Appl Math Lett 2010,23(10):1291-294. CrossRef
  12. Ciepliński K: Stability of the multi-Jensen equation. / J Math Anal Appl 2010,363(1):249-54. CrossRef
  13. Bouikhalene B, Elqorachi E, Rassias THM: On the Hyers-Ulam stability of approximately Pexider mappings. / Math Inequal Appl 2008, 11:805-18.
  14. Ciepliński K: Stability of multi-additive mappings in non-Archimedean normed spaces. / J Math Anal Appl 2011, 373:376-83. CrossRef
  15. Cho YJ, Park C, Saadati R: Functional inequalities in non-Archimedean in Banach spaces. / Appl Math Lett 2010, 60:1994-002.
  16. Mirmostafaee AK: Stability of quartic mappings in non-Archimedean normed spaces. / Kyungpook Math J 2009, 49:289-97.
  17. Moslehian MS, Sadeghi GH: A Mazur-Ulam theorem in non-Archimedean normed spaces. / Nonlinear Anal 2008, 69:3405-408. CrossRef
  18. Moslehian MS, Sadeghi GH: Stability of two types of cubic functional equations in non-Archimedean spaces. / Real Anal Exch 2008, 33:375-84.
  19. Moslehian MS, Rassias THM: Stability of functional equations in non-archimedean spaces. / Appl Anal Discrete Math 2007, 1:325-34. CrossRef
  20. Moslehian MS, Rassias THM: Stability of functional equations in non-Archimedean spaces. / Appl Anal Discrete Math 2007, 1:325-34. CrossRef
  21. Najati A, Moradlou F: Hyers-Ulam-Rassias stability of the Apollonius type quadratic mapping in non-Archimedean spaces. / Tamsui Oxf J Math Sci 2008, 24:367-80.
  22. Saadati R, Cho YJ, Vahidi J: The stability of the quartic functional equation in various spaces. / Comput Math Appl 2010, 60:1994-002. CrossRef
  23. Schneider P: / Non-Archimedean Functional Analysis. Springer, New York; 2002.
  24. Bouikhalene B, Elqorachi E, Rassias THM: On the generalized Hyers-Ulam stability of the quadratic functional equation with a general involution. / Nonlinear Funct Anal Appl 2007,12(2):247-62.
  
• 作者单位：Reza Saadati (1)
  Seiyed Mansour Vaezpour (2)
  Zahra Sadeghi (1)
  
  1. Department of Mathematics, Science and Research Branch, Islamic Azad University (iau), Tehran, Iran
  2. Department of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Avenue, Tehran, 15914, Iran
  
• ISSN：1029-242X

文摘

In this paper, the Hyers-Ulam stability of the Pexider functional equation in a non-Archimedean space is investigated, where σ is an involution in the domain of the given mapping f. MSC 2010:26E30, 39B52, 39B72, 46S10