A note on collectively coincidence theory for lower semicontinuous maps

In this paper we present collectively fixed point theory for lower semicontinuous maps. In addition we present coincidence results between KKM type maps and lower semicontinuous maps. Our arguments are based on the Schauder-Tychonoff fixed point theorem and a fixed point result based on KKM self map...

Full description

Saved in:
Bibliographic Details
Published inNonlinear analysis: real world applications Vol. 84; p. 104272
Main Author O’Regan, Donal
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.08.2025
Subjects
Coincidence points
Set–valued maps
Coincidence points
47H10
Set–valued maps
54H25
Online AccessGet full text
ISSN1468-1218
DOI10.1016/j.nonrwa.2024.104272

Cover

More Information
Summary:In this paper we present collectively fixed point theory for lower semicontinuous maps. In addition we present coincidence results between KKM type maps and lower semicontinuous maps. Our arguments are based on the Schauder-Tychonoff fixed point theorem and a fixed point result based on KKM self maps on an admissible convex set in a Hausdorff topological vector space. As an application we present a new (Nash) equilibrium result for economies.
ISSN:1468-1218
DOI:10.1016/j.nonrwa.2024.104272