模糊数值映射的pepeized Cauchy-Jensen型泛函方程的稳定性问题

IF 1.9 4区数学 Q1 MATHEMATICS Iranian Journal of Fuzzy Systems Pub Date : 2021-09-11 DOI:10.22111/IJFS.2021.6308

M. Miahi, Farshid Mirzaee, H. Khodaei

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引用次数: 1

摘要

利用模糊数空间上定义的度量，研究了Banach空间中n维Cauchy-Jensen型和n维peiderized Cauchy-Jensen型模糊数值泛函方程的稳定性问题。在适当的条件下，讨论了这些方程解的存在唯一性等性质。我们的结果可以看作是单值泛函方程和集值泛函方程稳定性结果的重要推广。

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( 2003-5778) Stability problem for Pexiderized Cauchy-Jensen type functional equations of fuzzy number-valued mappings

We investigate the stability problems of the n-dimensional Cauchy-Jensen type and the n-dimensional Pexiderized Cauchy-Jensen type fuzzy number-valued functional equations in Banach spaces by using the metric defined on a fuzzynumber space. Under some suitable conditions, some properties of the solutions for these equations such as existence and uniqueness are discussed. Our results can be regarded as important extensions of stability results corresponding tosingle-valued functional equations and set-valued functional equations, respectively.

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来源期刊

Iranian Journal of Fuzzy Systems 数学-数学

CiteScore

3.50

自引率

16.70%

发文量

期刊介绍： The two-monthly Iranian Journal of Fuzzy Systems (IJFS) aims to provide an international forum for refereed original research works in the theory and applications of fuzzy sets and systems in the areas of foundations, pure mathematics, artificial intelligence, control, robotics, data analysis, data mining, decision making, finance and management, information systems, operations research, pattern recognition and image processing, soft computing and uncertainty modeling. Manuscripts submitted to the IJFS must be original unpublished work and should not be in consideration for publication elsewhere.