Strongly convex solutions of an iterative functional equation
Strongly convex solutions of an iterative functional equation
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DOI：
10.1007/s00010-022-00877-3
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发表时间：
2022-04
影响因子：
0.8
通讯作者：
Houyu Zhao
中科院分区：
文献类型：
--
作者：
Houyu Zhao
利用Schauder不动点定理和Banach压缩原理研究迭代函数方程。我们给出了强凸解和强凹解的存在性、唯一性和稳定性的充分条件。我们也给出了相应解的近似序列。最后，一些例子被认为是我们的结果。
Schauder’s fixed point theorem and the Banach contraction principle are used to study an iterative functional equation. We give sufficient conditions for the existence, uniqueness, and stability of the strongly convex and strongly concave solutions. We also give the approximate sequences for the corresponding solutions. Finally, some examples are considered for our results.