用不动点法逼近一种先进的多维往复式二次映射

IF 0.4 Q4 MATHEMATICS
B. S. Senthil Kumar, H. Dutta, S. Sabarinathan
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引用次数: 0

摘要

在函数方程理论中,有许多关于各种形式的函数方程稳定性的结果。本文的目的是介绍一个先进的和新的多维倒数二次函数方程,涉及$p>1$个变量。值得注意的是,它有两种不同的解,即二次函数和乘性反二次函数。我们用不动点方法解决了它在非零实数和非阿基米德场设置下的各种稳定性问题。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Approximating an advanced multi-dimensional reciprocal-quadratic mapping via a fixed point approach
There are many results on stability of various forms of functional equations available in the theory of functional equations. The intention of this paper is to introduce an advanced and a new multi-dimensional reciprocal-quadratic functional equation involving $p>1$ variables. It is interesting to note that it has two different solutions, namely, quadratic and multiplicative inverse quadratic functions. We solve its various stability problems in the setting of non-zero real numbers and non-Archimedean fields via fixed point approach.
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来源期刊
CiteScore
1.40
自引率
0.00%
发文量
140
审稿时长
25 weeks
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