Intuitionistic fuzzy almost Cauchy–Jensen mappings

• Autorzy: Gordji M. E. , Abbaszadeh S.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we first investigate the Hyers–Ulam stability of the generalized Cauchy–Jensen functional equation of p-variable (…) in an intuitionistic fuzzy Banach space. Then, we conclude the results for Cauchy–Jensen functional equation of p-variable (…). Next, we discuss the intuitionistic fuzzy continuity of Cauchy–Jensen mappings.

Słowa kluczowe

EN

intuitionistic fuzzy Banach space; Cauchy–Jensen mapping; Hyers-Ulam stability

PL

przestrzeń Banacha; mapowanie Cauchyego-Jensen'a; stateczność Hyers'a-Ulama

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2016
• Tom: Vol. 49, nr 1
• Strony: 18--25
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Gordji M. E.

• Payame Noor University, P.O. Box 19395-3697, Tehran, Iran
• Center of Excellence in Nonlinear Analysis and Applications, Semnan University, Semnan, Iran

autor

Abbaszadeh S.

• Intelligent System and Perception Recognition CS Group of Mathematics Department Shahid Beheshti University, Tehran, Iran
• Young Researchers and Elite Club Malayer Branch Azad University Malayer, Iran

Bibliografia

• [1] D. H. Hyers, On the stability of the linear functional equation, Proc. Nat. Acad. Sci. 27 (1941), 222–224.
• [2] S. M. Ulam, A Collection of Mathematical Problems, Interscience Tracts in Pure and Applied Mathematics, no. 8, Interscience, New York, NY, USA, 1960.
• [3] Z. Kominek, On a local stability of the Jensen functional equation, Demonstratio Math. 22 (1989), 499–507.
• [4] S.-M. Jung, Hyers–Ulam–Rassias stability of Jensen’s equation and its application, Proc. Amer. Math. Soc. 126 (1998), 3137–3143.
• [5] K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87–96.
• [6] K. Atanassov, Geometric interpretations of the elements of the intuitionistic fuzzy objects, Preprint IM-MFAIS-1–89, Sofia, 1989.
• [7] K. Atanassov, On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
• [8] G. Deschrijver, E. E. Kerre, On the relationship between some extensions of fuzzy set theory, Fuzzy Sets Syst. 23 (2003), 227–235.
• [9] R. Saadati, S. Sedghi, N. Shobe, Modified intuitionistic fuzzy metric spaces and some fixed point theorems, Chaos Solitons Fractals. doi:10.1016/ j.chaos.2006.11.008
• [10] R. Saadati, S. M. Vaezpour, Y. J. Cho, Quicksort algorithm: Application of a fixed point theorem in intuitionistic fuzzy quasi-metric spaces at a domain of words, J. Comput. Appl. Math. 228 (2009), 219–225

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.