This paper proves that the Information Proliferation and Synthesis (IPS) system can be expanded in a dimensionless manner. \item IPS space $\Omega$ is a Banach space ...

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 ...

The proof for the Kakutani fixed-point theorem relies on the Brouwer fixed-point theorem (and partition of unity and Caratheodory's theorem). The proof for the Brouwer fixed-point theorem relies on a ...

In this paper, our purpose is to establish a common fixed point result for a pair of self-mappings satisfying some generalized cyclic contraction type conditions involving altering distance and ...