几个空间的极大值原理等价物

Q3 Mathematics

Topological Algebra and its Applications Pub Date : 2022-01-01 DOI:10.1515/taa-2022-0113

Sehie Park

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引用次数: 2

摘要

摘要根据我们长期以来的元定理，某些极大值定理可以等价地重新表述为各种类型的不动点定理，反之亦然。作为这些定理的例子，本文列举了Zermelo的不动点定理、Brøndsted原理、Fang的F型定理、局部凸空间和拟一致空间的相关定理。此外，我们还回顾了一些与我们的元定理有关的工作。

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Equivalents of maximum principles for several spaces

Abstract According to our long-standing Metatheorem, certain maximum theorems can be equivalently reformulated to various types of fixed point theorems, and conversely. As examples of such theorems, in this paper, we list Zermelo’s fixed point theorem, Brøndsted’s principle, Fang’s F-type theorem, related theorems for locally convex spaces and quasi-uniform spaces. Further we review some few works concerned with our Metatheorem.

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来源期刊

Topological Algebra and its Applications Mathematics-Algebra and Number Theory

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

24 weeks