Istances and Brøndsted's variational principle

2021/04/09 by Lech Pasicki, Pasicki, Lech
Mathematics · #06A06 #49J27 #49J45 #54E15 #54H25 #FOS: Mathematics #Functional Analysis (math.FA) #Optimization and Control (math.OC) #math.FA #math.OC #msc:06A06 #msc:49J27 #msc:49J45 #msc:54E15 #msc:54H25

paper · pdf · doi:10.48550/arxiv.2104.08176

9 pages

arxiv created 2021/04/09 · arxiv updated 2021/04/19

Abstract

The manuscript contains elegant extensions of the fundamental variational principles: Brøndsted's and Ekeland's. On the other hand we get general and precise version of the Takahashi and the Cariste fixed point theorems. The results are based on the notion of istance for uniform spaces.

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