Title of article
Approximation of general Pexider functional inequalities in fuzzy Banach spaces
Author/Authors
Lu ، Gang - ShenYang University of Technology , Xin ، Jincheng - ShenYang University of Technology , Jin ، Yuanfeng - Yanbian University , Park ، Choonkil - Hanyang University
Pages
11
From page
206
To page
216
Abstract
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)≤kp(2x+z+l/k), f(x+y)+f(x−y)+g(z)+kh(l)≤kp(x+z/k+l), 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.
Keywords
Fuzzy approximation , Pexider functional inequality , fuzzy Banach space
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2019
Journal title
Journal of Nonlinear Science and Applications
Record number
2477066
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