On The Role of Porosity in Summability, Fixed Point Theory, and the Application of Summability Methods to Fixed Point Theory

Nkuno DI, Kiltho A and Brono AM

Published on: 2025-03-09

Abstract

Porosity plays a crucial role in various mathematical disciplines, including summability theory and fixed-point theory. This paper explores the interplay between porosity, summability, and fixed-point theory, with a particular focus on the application of summability methods to fixed point theory. We examine how porosity affects the convergence of summability methods and the existence of fixed points. Our analysis reveals that porosity can both facilitate and hinder the convergence of summability methods, depending on the specific context. Furthermore, we investigate the application of summability methods to fixed point theory, highlighting the challenges and opportunities arising from porosity. Our results provide new insights into the complex relationships between porosity, summability, and fixed-point theory. In addition, we presented the conditions under which summability method can have fix point.