论文标题
部分可观测时空混沌系统的无模型预测
Fixed point results of enriched interpolative Kannan type operators with applications
论文作者
论文摘要
本文的目的是在Banach空间上介绍一类丰富的插值坎南类型运营商，其中包含丰富的Kannan操作员，插值kannan型收缩操作员和其他一些类别的非线性操作员。提出了一些示例，以支持此处介绍的概念。证明了Krasnoselskii迭代方法的收敛定理，以近似于富集的插值kannan型操作员的固定点。我们研究了本文介绍的运算符的适应性，ULAM-HYERS稳定性和周期性的特性。作为主要结果的应用，解决了变化不平等问题。
The purpose of this paper is to introduce the class of enriched interpolative Kannan type operators on Banach space that contains the classes of enriched Kannan operators, interpolative Kannan type contraction operators and some other classes of nonlinear operators. Some examples are presented to support the concepts introduced herein. A convergence theorem for the Krasnoselskii iteration method to approximate fixed point of the enriched interpolative Kannan type operators is proved. We study well-posedness, Ulam-Hyers stability and periodic point property of operators introduced herein. As an application of the main result, variational inequality problem is solved.
