C. S. Barroso

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20242026

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math.FA2026

Fixed point results for asymptotically Hölder nonexpansive type mappings

Cleon S. Barroso, Carlos Sérgio R. da Silva

In this work, we extend Goebel-Kirk fixed point theorems to the setting of mappings of asymptotically Hölder-nonexpansive type. By providing several non-trivial examples, we show t…

math.FA2025

On $L$ - $ω$ -nonexpansive maps

Cleon S. Barroso, Jeimer V. Bedoya, Carlos S. R. da Silva

We consider $L$ - $ω$ -nonexpansive maps $T : K \to K$ on a convex subset $K$ of a Banach space $X$ , i.e., maps in which $ω_{T} (δ) \leq L δ + ω (δ)$ with $L \in [0, 1]$ , $ω$ being a modulus…

Fixed point results for asymptotically Hölder nonexpansive type mappings

On L-ω-nonexpansive maps

On $L$ - $ω$ -nonexpansive maps