Topic
Michael selection theorem
About: Michael selection theorem is a research topic. Over the lifetime, 25 publications have been published within this topic receiving 253 citations.
Papers
TL;DR: In this paper, Sabatier implique l'accord avec les conditions générales d'utilisation (http://www.up-tlse.numdam.org/conditions).
Abstract: © Université Paul Sabatier, 1993, tous droits réservés. L’accès aux archives de la revue « Annales de la faculté des sciences de Toulouse » (http://picard.ups-tlse.fr/~annales/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/conditions). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.
104 citations
TL;DR: In this paper, the authors prove three approximate selection theorems and give an improved version of the Michael selection theorem for generalized games, as well as a fixed point theorem and equilibrium theorem.
24 citations
TL;DR: In this article, the concept of a function h P of non-convexity of the set P of a normed space is introduced, where h P is the graph of some continuous function of one variable.
22 citations
1 Feb 1990
TL;DR: In this article, a continuous selection theorem for convex-valued multifunctions satisfying slightly weaker lower semicontinuity assumptions than those which are adopted in the famous Michael Theorem was given.
Abstract: We give a continuous selection theorem for convex-valued multifunctions satisfying slightly weaker lower semicontinuity assumptions than those which are adopted in the famous Michael Theorem [4] and in [1].
22 citations
TL;DR: By arguments combining selection theory and fixed point theory, some qualitative results are obtained for quasi-equilibrium problems involving sub-lower semicontinuous set-valued mappings in the setting of real Banach spaces.
Abstract: This paper deals with quasi-equilibrium problems in the setting of real Banach spaces. By a fixed point theory approach, we obtain existence results under mild conditions of continuity, improving some previous results in this area. By a selection theory approach, we make use of the Michael selection theorem to overcome the separability of the Banach spaces and generalize some results obtained recently in the literature. Finally, we deal with the existence of approximate solutions for quasi-equilibrium problems, and by arguments combining selection theory and fixed point theory, we obtain some qualitative results for quasi-equilibrium problems involving sub-lower semicontinuous set-valued mappings.
18 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 1 |
| 2018 | 3 |
| 2017 | 1 |
| 2016 | 1 |
| 2015 | 1 |
| 2013 | 1 |