Spring Issue

The Unique Midpoint Property in Ultrametric Spaces

In this paper we characterize ultrametric spaces that satisfy the unique midpoint property and conclude that such a space must consist of a single point or three points....

A Short and Educational Proof of the Bolzano-Weierstreass Theorem

In this article, a short and educational proof of the Bolzano-Weierstrass theorem is given without using any lemma....

Characterization of the Unique Midpoint Property in Ultrametric Spaces via Convex Functions

In this paper, we introduce a novel framework for analyzing the unique midpoint property within complete ultrametric spaces. By defining a specialized class of strongly convex functions tailored for non-Archimedean geo...

The Valerian Operator: Reversal Dynamics and Convex Solutions in Lucas-Type Differential Equations

This paper investigates the existence and uniqueness of strictly convex solutions to a novel class of boundary value problems driven by the Valerian Reversal Operator. By introducing a temporal shift mechanism analogous ...