1️⃣ Define a Metric Space: Represent data as points in a complete metric space with a well-defined distance function. 2️⃣ Identify a Contraction Mapping: Explore potential mappings that satisfy the ...
Theorems of iteration g-contractive sequential composite mapping and periodic mapping in Banach or probabilistic Bannach space are proved, which allow some contraction ratios of the sequence 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 ...
The Quarterly of Applied Mathematics contains original papers in applied mathematics which have a close connection with applications. An author index appears in the last issue of each volume. This ...
ABSTRACT: Similar to the simplest differential equation of stock price, a set of simultaneous differential equations of stock prices of the same share in both A and H stock markets have been ...
Abstract: In real reflexive separable Banach space which admits a weakly sequentially continuous duality mapping, the sufficient and necessary condition that nonexpansive random mapping has a random ...
In this work, we give a partial positive answer to the question concerning the set-valued quasi-contraction proposed by Amini-Harandi (Appl. Math. Lett. 24:1791–1794 2011). By a useful lemma, we prove ...
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