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http://dx.doi.org/10.14403/jcms.2016.29.3.453

A FIXED POINT APPROACH TO STABILITY OF ADDITIVE FUNCTIONAL INEQUALITIES IN FUZZY NORMED SPACES

Kim, Chang Il (Department of Mathematics Education Dankook University)
Park, Se Won (Department of Liberal arts and Science Shingyeong University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.29, no.3, 2016 , pp. 453-464 More about this Journal

Abstract

In this paper, we investigate the solution of the following functional inequality $N(f(x)+f(y)+f(z),t){\geq}N(f(x+y+z),mt)$ for some fixed real number m with $\frac{1}{3}$ < m ${\leq}$ 1 and using the fixed point method, we prove the generalized Hyers-Ulam stability for it in fuzzy Banach spaces.

Keywords

Hyers-Ulam stability; additive functional inequality; fuzzy normed space; fixed point theorem;

Citations & Related Records

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