论文标题
非专业多价值操作员和非线性积分包含物的存在结果
Existence results for nonexpansive multi-valued operators and nonlinear integral inclusions
论文作者
论文摘要
在本文中，我们为大型的一类无数多个多价值映射建立了一些固定点定理的新变体。还提出了一些固定点定理的总和和三个在非空，封闭的凸式凸代代数上定义的多价映射的乘积。这些结果改善并补充了许多早期作品。作为应用程序，我们证明了一类广泛的非线性功能积分包含和非线性差异包含物的存在结果。
In this paper, we establish some new variants of fixed point theorems for a large class of countably nonexpansive multi-valued mappings. Some fixed point theorems for the sum and the product of three multi-valued mappings defined on nonempty, closed convex set of Banach algebras are also presented. These results improve and complement a number of earlier works. As an application, we prove existence results for a broad class of nonlinear functional integral inclusions as well as nonlinear differential inclusions.
