C. S. R. da Silva

Fixed points for uniformly asymptotically H\"older-Lipschitz mappings

In this work, we show that if $K$ is a nonempty, closed, bounded, and convex subset of $X$ and $1\leq \gamma<\sqrt{N(X)},$ where $N(X)$ denotes the Bynum normal structure coefficient, then every uniformly asymptotically H\"older $\gamma$-Lipschitz mapping $T\colon K\to K$ has a fixed point. To achieve this, it was nece...