Vector ultrametric spaces and a fixed point theorem for correspondences

TL;DR

This paper introduces vector ultrametric spaces and proves a fixed point theorem for correspondences, extending known results from traditional ultrametric spaces to a more general setting.

Contribution

It generalizes a fixed point theorem from ultrametric spaces to vector ultrametric spaces, broadening the scope of fixed point theory.

Findings

Established a fixed point theorem for correspondences in vector ultrametric spaces

Generalized known ultrametric fixed point results to a vector-valued context

Extended the applicability of fixed point theorems in mathematical analysis

Abstract

In this paper, vector ultrametric spaces are introduced and a fixed point theorem is given for correspondences. Our main result generalizes a known theorem in ordinary ultrametric spaces.