Scattered Educational Videos on Fixed Points and Convexity, No Direct Research Found — E8 Intelligence Research

FINDING: The search results are a scattered collection of educational videos on Banach fixed-point theorem, convex sets, bond convexity, and a survey on scalar curvature convergence — no direct research on uniform convexity modulus in L^p or golden-ratio fixed points. The only substantive mathematical item is the arXiv survey on scalar curvature convergence conjectures. MATH: - Banach fixed-point theorem: \( d(Tx,Ty) \leq q\,d(x,y) \), \( q \in [0,1) \) ⇒ unique fixed point \( x^* \), convergence rate \( O(q^n) \). - Convexity modulus of L^p: \( \delta_p(\varepsilon) \) satisfies \( \delta_p(\varepsilon) \sim \frac{p-1}{8}\varepsilon^2 \) for \( 1 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-26
DOI
https://doi.org/10.5281/zenodo.22971813
Primary Topic
Fixed Point Theorems Analysis
Type
preprint
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preprint

Scattered Educational Videos on Fixed Points and Convexity, No Direct Research Found — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Fixed Point Theorems Analysis
preprint

Scattered Educational Videos on Fixed Points and Convexity, No Direct Research Found — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: The search results are a scattered collection of educational videos on Banach fixed-point theorem, convex sets, bond convexity, and a survey on scalar curvature convergence — no direct research on uniform convexity modulus in L^p or golden-ratio fixed points. The only substantive mathematical item is the arXiv survey on scalar curvature convergence conjectures. MATH: - Banach fixed-point theorem: \( d(Tx,Ty) \leq q\,d(x,y) \), \( q \in [0,1) \) ⇒ unique fixed point \( x^* \), convergence rate \( O(q^n) \). - Convexity modulus of L^p: \( \delta_p(\varepsilon) \) satisfies \( \delta_p(\varepsilon) \sim \frac{p-1}{8}\varepsilon^2 \) for \( 1 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Fixed Point Theorems Analysis
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