Coincidence points of Mappings in Banach Spaces

TL;DR

This paper proves a theorem ensuring the existence of coincidence points for mappings in Banach spaces, extending the classical Kantorovich fixed point theorem to a broader context.

Contribution

It introduces a generalized existence theorem for coincidence points in Banach spaces, expanding upon the Kantorovich fixed point theorem.

Findings

Established a new existence theorem for coincidence points.

Generalized the Kantorovich fixed point theorem.

Applicable to a wider class of mappings in Banach spaces.

Abstract

In this article we prove an existence theorem for coincidence points of mappings in Banach spaces. This theorem generalizes the Kantorovich fixed point theorem.