多值映射耦合不动点集的存在性与稳定性

Pub Date : 2021-07-01 DOI:10.24193/fpt-ro.2021.2.38

B. Choudhury, T. Gnana Bhaskar, N. Metiya, S. Kundu

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引用次数: 0

摘要

建立了满足一定容许条件的多值映射的耦合不动点的存在性。映射是一个收缩的要求通过多个变量的函数隐式地满足。进一步研究了这种映射的耦合不动点集的稳定性。给出了几个说明性的例子。

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Existence and stability of coupled fixed point sets for multi-valued mappings

The existence of a coupled fixed point for a multi-valued mapping satisfying a certain admissibility condition is established. Requirement that the mapping be a contraction is met implicitly through a function of several variables. Further, we study the stability of coupled fixed point sets for such mappings. Several illustrative examples are presented.

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