具有大小函数拓扑的拓扑空间中的耦合不动点定理

Q3 Mathematics Abstract and Applied Analysis Pub Date : 2022-06-03 DOI:10.1155/2022/5858050

G. Sunyeekhan

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引用次数: 0

摘要

关于大小函数拓扑的概念，这允许我们将拓扑空间X视为度量样空间。我们证明了映射F:X×X的一个耦合不动点的存在唯一性⟶ X满足某些收缩条件。

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Coupled Fixed Point Theorems in Topological Spaces with Size Function Topology

Regarding the concept of size function topology, this allows us to view the topological space X as a metric-like space. We prove the existence and uniqueness for a coupled fixed point of the map F : X × X ⟶ X satisfying some certain contractive conditions.

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来源期刊

Abstract and Applied Analysis 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

3.5 months

期刊介绍： Abstract and Applied Analysis is a mathematical journal devoted exclusively to the publication of high-quality research papers in the fields of abstract and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimization theory, and control theory. Abstract and Applied Analysis supports the publication of original material involving the complete solution of significant problems in the above disciplines. Abstract and Applied Analysis also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of analysis.