An abstract generalization of K\"allen-Kr\"oner's interation

TL;DR

This paper presents a broad abstract generalization of a mathematical iteration originally introduced by K"allen and later revisited by Kr"oner, which could have significant implications in related fields.

Contribution

It introduces a novel abstract framework for a known iteration, extending its applicability and understanding beyond previous specific cases.

Findings

Provides a generalized iteration framework applicable in various contexts

Extends the theoretical understanding of K"allen-Kr"oner's iteration

Potentially influences future research in related mathematical areas

Abstract

We devote this paper to provide an abstract generalization of an iteration originally due to K\"all\'en, and revisited later by Kr\"oner, that might be of independent interest.