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首页> 外文期刊>The Journal of Nonlinear Sciences and its Applications >Approximation of general Pexider functional inequalities in fuzzy Banach spaces
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Approximation of general Pexider functional inequalities in fuzzy Banach spaces

机译:模糊Banach空间中一般Pexider泛函不等式的逼近

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摘要

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) leqkpleft(rac{2x+z+l}{k}ight) ,][ f(x+y)+f(x-y) + g(z)+k h(l) leqkpleft(rac{ x+ z }{k}+light) ,]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.
机译:在本文中,我们针对以下Pexider函数不等式 [f(x + y)+ f(xy)+ g(z)+ h(l) leqkp,研究了广义Hyers-Ulam-Rassias类型稳定性的模糊版本 left( frac {2x + z + l} {k} right),] [f(x + y)+ f(xy)+ g(z)+ kh(l) leqkp left( frac {x + z} {k} + l right),]其中$ k $是非零实标量。在模糊赋范线性空间中提出。在这种情况下,我们给出了模糊Banach空间中该结果的替代证明。

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