Original Research

Nonlinear functional analysis

W. L. Fouché
Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie | Vol 2, No 3 | a1121 | DOI: https://doi.org/10.4102/satnt.v2i3.1121 | © 1983 W. L. Fouché | This work is licensed under CC Attribution 4.0
Submitted: 24 March 1983 | Published: 24 March 1983

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W. L. Fouché,, South Africa

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Abstract

In this article we discuss some aspects of nonlinear functional analysis. It included reviews of Banach’s contraction theorem, Schauder’s fixed point theorem, globalising techniques and applications of homotopy theory to nonlinear functional analysis. The author emphasises that fundamentally new ideas are required in order to achieve a better understanding of phenomena which contain both nonlinear and definite infinite dimensional features.

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