多值映射耦合不动点集的存在性与稳定性

IF 0.9 4区数学 Q2 MATHEMATICS Fixed Point Theory 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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来源期刊

Fixed Point Theory 数学-数学

CiteScore

2.30

自引率

9.10%

发文量

审稿时长

6-12 weeks

期刊介绍： Fixed Point Theory publishes relevant research and expository papers devoted to the all topics of fixed point theory and applications in all structured set (algebraic, metric, topological (general and algebraic), geometric (synthetic, analytic, metric, differential, topological), ...) and in category theory. Applications to ordinary differential equations, partial differential equations, functional equations, integral equations, mathematical physics, mathematical chemistry, mathematical biology, mathematical economics, mathematical finances, informatics, ..., are also welcome.