Approximation of general Pexider functional inequalities in fuzzy Banach spaces

Volume 12, Issue 4, pp 206--216 http://dx.doi.org/10.22436/jnsa.012.04.02
Publication Date: December 05, 2018 Submission Date: April 02, 2018 Revision Date: August 05, 2018 Accteptance Date: October 26, 2018

Authors

Gang Lu - Department of Mathematics, School of Science, ShenYang University of Technology, Shenyang 110870, P. R. China. Jincheng Xin - Department of Mathematics, School of Science, ShenYang University of Technology, Shenyang 110870, P. R. China. Yuanfeng Jin - Department of Mathematics, Yanbian University, Yanji 133001, People's Republic of China. Choonkil Park - Department of Mathematics, Research Institute for Natural Sciences, Hanyang University, Seoul 04763, Republic of Korea.


Abstract

In this paper, we investigate a fuzzy version of a generalized Hyers-Ulam-Rassias type stability for the following Pexider functional inequalities \[ f(x+y)+f(x-y)+g(z)+h(l) \leq kp\left(\frac{2x+z+l}{k}\right) , \] \[ f(x+y)+f(x-y) + g(z)+k h(l) \leq kp\left(\frac{ x+ z }{k}+l\right) , \] 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.


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ISRP Style

Gang Lu, Jincheng Xin, Yuanfeng Jin, Choonkil Park, Approximation of general Pexider functional inequalities in fuzzy Banach spaces, Journal of Nonlinear Sciences and Applications, 12 (2019), no. 4, 206--216

AMA Style

Lu Gang, Xin Jincheng, Jin Yuanfeng, Park Choonkil, Approximation of general Pexider functional inequalities in fuzzy Banach spaces. J. Nonlinear Sci. Appl. (2019); 12(4):206--216

Chicago/Turabian Style

Lu, Gang, Xin, Jincheng, Jin, Yuanfeng, Park, Choonkil. "Approximation of general Pexider functional inequalities in fuzzy Banach spaces." Journal of Nonlinear Sciences and Applications, 12, no. 4 (2019): 206--216


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