The following was the famous fixed point theorem introduced by Banach in 1922. The Banach contraction principle ([1] ). Let be a complete metric space, let F be a nonempty closed subset of X and let A ...

Department of Mathematics, Nanjing University, Nanjing, Jiangsu, People’s Republic of China. Department of Mathematics, Shawnee State University, Portsmouth, Ohio, USA. School of Applied Mathematics, ...

In the present study, we prove generalizations of Banach, Kannan, Chatterjea, Ćirić-Reich-Rus fixed point theorems, as well as of the fixed point theorem for mapping contracting perimeters of ...

Abstract: In this paper, a fixed point theorem of mixed monotone operator based on the set $P_{h,e}$ is obtained by using monotone iterative methods and cone theory ...

In this paper, we study the existence of solutions for nonlinear sequential Caputo and Caputo-Hadamard fractional differential equations with three-point boundary conditions by using measure of ...

This repository contains a Lean formalisation of the Banach Fixed Point Theorem (also known as the Contraction Mapping Theorem), a fundamental result in metric space theory. The theorem guarantees the ...