Jung's Theorem and fixed points for $p$-uniformly convex spaces

TL;DR

This paper extends Jung's theorem and fixed point theorems to the setting of p-uniformly convex spaces, broadening their applicability in geometric analysis.

Contribution

It introduces generalized Jung and fixed point theorems specifically tailored for p-uniformly convex spaces, a novel extension of classical results.

Findings

Established Jung's theorem in p-uniformly convex spaces.

Proved fixed point theorems for non-expansive mappings in these spaces.

Extended classical geometric analysis results to a broader class of spaces.

Abstract

We introduce the classical Jung theorem and fixed point theorems and prove similar ones for $p$-uniformly convex spaces.