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.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Equivalents of maximum principles for several spaces ; volume:10 ; number:1 ; year:2022 ; pages:68-76 ; extent:9
Topological algebra and its applications ; 10, Heft 1 (2022), 68-76 (gesamt 9)

Creator
Park, Sehie

DOI
10.1515/taa-2022-0113
URN
urn:nbn:de:101:1-2022071814465582127525
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:30 AM CEST

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Associated

  • Park, Sehie

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