Ulam-Hyers-Rassias-stability of a Cauchy-Jensen additive mapping In fuzzy Banach spaces

سال انتشار: 1405
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 129

فایل این مقاله در 14 صفحه با فرمت PDF قابل دریافت می باشد

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این مقاله:

شناسه ملی سند علمی:

JR_IJNAA-17-2_015

تاریخ نمایه سازی: 25 بهمن 1404

چکیده مقاله:

In this paper, We prove the Ulam-Hyers-Rassias stability of (m, n)−Cauchy-Jensen additive functional equation fuzzy Banach spaces. The concept of Ulam-Hyers-Rassias stability originated from Th. M. Rassias stability theorem that appeared in his paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. ۷۲ (۱۹۷۸), ۲۹۷-۳۰۰.

نویسندگان

Hassan Azadi Kenary

Department of Mathematics, College of Sciences, Yasouj University, Yasouj ۷۵۹۱۴-۳۵۳, Iran

مراجع و منابع این مقاله:

لیست زیر مراجع و منابع استفاده شده در این مقاله را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود مقاله لینک شده اند :
  • M.R. Abdollahpour and M.T. Rassias, Hyers-Ulam stability of hypergeometric differential ...
  • M. R. Abdollahpour, R. Aghayari, and M.T. Rassias, Hyers-Ulam stability ...
  • J. Aczel and J. Dhombres, Functional Equations in Several Variables, ...
  • T. Bag and S.K. Samanta, Finite dimensional fuzzy normed linear ...
  • T. Bag and S.K. Samanta, Fuzzy bounded linear operators, Fuzzy ...
  • S.C. Cheng and J.N. Mordeson, Fuzzy linear operators and fuzzy ...
  • P.W. Cholewa, Remarks on the stability of functional equations, Aequ. ...
  • S. Czerwik, On the stability of the quadratic mapping in ...
  • M. Eshaghi Gordji and M. Bavand Savadkouhi, Stability of mixed ...
  • M. Eshaghi Gordji, M. Bavand Savadkouhi, and C. Park, Quadratic-quartic ...
  • M. Eshaghi Gordji and H. Khodaei, Stability of Functional Equations, ...
  • M. Eshaghi Gordji, S. Zolfaghari, J.M. Rassias, and M.B. Savadkouhi, ...
  • C. Felbin, Finite-dimensional fuzzy normed linear space, Fuzzy Sets Syst. ...
  • S.-M. Jung and M.T. Rassias, A linear functional equation of ...
  • S.-M. Jung, D. Popa, and M.T. Rassias, On the stability ...
  • P. Gavruta, A generalization of the Hyers-Ulam-Rassias stability of approximately ...
  • D.H. Hyers, On the stability of the linear functional equation, ...
  • A.K. Katsaras, Fuzzy topological vector spaces, Fuzzy Sets Syst. ۱۲ ...
  • I. Karmosil and J. Michalek, Fuzzy metric and statistical metric ...
  • S.V. Krishna and K.K.M. Sarma, Separation of fuzzy normed linear ...
  • Y.-H. Lee, S. Jung, and M.T. Rassias, Uniqueness theorems on ...
  • D. Mihet and V. Radu, On the stability of the ...
  • C. Park and M.T. Rassias, Additive functional equations and partial ...
  • C. Park, Fuzzy stability of a functional equation associated with ...
  • C. Park, Generalized Hyers-Ulam-Rassias stability of n-sesquilinear-quadratic mappings on Banach ...
  • C. Park, Fixed points and Hyers-Ulam-Rassias stability of Cauchy-Jensen functional ...
  • C. Park, Generalized Hyers-Ulam-Rassias stability of quadratic functional equations: A ...
  • J.M. Rassias and H.-M. Kim, Approximate homomorphisms and derivations between ...
  • J.M. Rassias and H. Kim, Generalized Hyers-Ulam stability for general ...
  • Th.M. Rassias, On the stability of the linear mapping in ...
  • Th.M. Rassias, On the stability of the quadratic functional equation ...
  • Th.M. Rassias, On the stability of functional equations in Banach ...
  • Th.M. Rassias and P. Semrl, On the Hyers-Ulam stability of ...
  • R. Saadati, M. Vaezpour, and Y.J. Cho, A note to ...
  • R. Saadati, M.M. Zohdi, and S.M. Vaezpour, Nonlinear L-random stability ...
  • F. Skof, Local properties and approximation of operators, Rend. Semin. ...
  • S.M. Ulam, Problems in Modern Mathematics, John Wiley and Sons, ...
  • نمایش کامل مراجع