弱内角谷和强内无环映射的延拓定理

Journal of Nonlinear Sciences and Applications Pub Date : 2022-03-09 DOI:10.22436/jnsa.015.03.03

D. O’Regan

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引用次数: 0

摘要

本文首先给出了Kakutani(具有非空凸紧值的上半连续映射)紧弱内向映射的一般Leray-Schauder替代定理和拓扑横截定理。在此基础上，我们给出了非空非环紧值上半连续映射的Leray-Schauder替代定理和拓扑截性定理。

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Continuation theorems for weakly inward Kakutani and Strongly inward acyclic maps

In this paper we begin by presenting a general Leray-Schauder alternative and a topological transversality theorem for Kakutani (upper semicontinuous maps with nonempty convex compact values) compact weakly inward maps. Then with some observations and extra assumptions we present a Leray-Schauder alternative and a topological transversality theorem for acyclic (upper semicontinuous maps with nonempty acyclic compact values) compact strongly inward maps.

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来源期刊

Journal of Nonlinear Sciences and Applications MATHEMATICS, APPLIED-MATHEMATICS

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期刊介绍： The Journal of Nonlinear Science and Applications (JNSA) (print: ISSN 2008-1898 online: ISSN 2008-1901) is an international journal which provides very fast publication of original research papers in the fields of nonlinear analysis. Journal of Nonlinear Science and Applications is a journal that aims to unite and stimulate mathematical research community. It publishes original research papers and survey articles on all areas of nonlinear analysis and theoretical applied nonlinear analysis. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics. Manuscripts are invited from academicians, research students, and scientists for publication consideration. Papers are accepted for editorial consideration through online submission with the understanding that they have not been published, submitted or accepted for publication elsewhere.