Fuzzy Stability of a Quadratic-Additive Type Functional Equation

Sun-Sook Jin () and Yang-Hi Lee ()
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Sun-Sook Jin: Gongju National University of Education
Yang-Hi Lee: Gongju National University of Education

Chapter Chapter 19 in Nonlinear Analysis, 2012, pp 329-342 from Springer

Abstract: Abstract In this paper, we investigate a fuzzy version of stability for the functional equation $$2f(x+y)+f(x-y)+f(y-x)-f(2x)-f(2y) =0 $$ in the sense of M. Mirmostafaee and M.S. Moslehian.

Keywords: Fuzzy normed space; Fuzzy almost quadratic-additive mapping; Quadratic-additive type functional equation; 39B52 (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-3498-6_19

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DOI: 10.1007/978-1-4614-3498-6_19

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