Approximation of general Pexider functional inequalities in fuzzy Banach spaces
Gang Lü, Jincheng Xin, Yuanfeng Jin, Choonkil Park · The Journal of Nonlinear Sciences and Applications · 2018
In this paper, we investigate a fuzzy version of a generalized Hyers-Ulam-Rassias type stability for the following Pexider functional inequalities \[ f(x+y)+f(x-y)+g(z)+h(l) \leq kp\left(\frac{2x+z+l}{k}\right) , \] \[ f(x+y)+f(x-y) + g(z)+k h(l) \leq kp\left(\frac{ x+ z }{k}+l\right) , \] where $k$ are nonzero real scalars. In the fuzzy normed linear space setting is presented. In this condition, we give an alternative proof of this result in fuzzy Banach space.