A Note on Brondsted's Fixed Point Theorem

2023/01/30 by Zubelevich, Oleg
#06A06 #46A40 #46B40 #46B42 #47H10 #47J05 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2302.07846

Abstract

We show that for the case of uniformly convex Banach spaces the conditions of the Brondsted fixed point theorem can be relaxed.

Related

• Uniformly nonsquare Banach spaces have the Fixed Point Property
• Uniformly nonsquare Banach spaces have the fixed point property 1
• Uniformly nonsquare Banach spaces have the Fixed Point Property 2
• Jung's Theorem and fixed points for p-uniformly convex spaces
• The fixed point property via dual space properties