1976Proceedings of the American Mathematical SocietyRequires access

Uniqueness in the Schauder Fixed Point Theorem

R. B. Kellogg

Open publisher page 15 citations

Abstract

A condition is given which guarantees the uniqueness of the fixed point in the Brouwer and Schauder fixed point theorems. The result is applied to a nonlinear boundary value problem in physiology.

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What this paper is about

A condition is given which guarantees the uniqueness of the fixed point in the Brouwer and Schauder fixed point theorems. The result is applied to a nonlinear boundary value problem in physiology.

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OpenAlex reports 15 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A condition is given which guarantees the uniqueness of the fixed point in the Brouwer and Schauder fixed point theorems. The result is applied to a nonlinear boundary value problem in physiology.

Key concepts: Schauder fixed point theorem, Fixed-point theorem, Uniqueness, Mathematics, Fixed point, Kakutani fixed-point theorem, Picard–Lindelöf theorem, Brouwer fixed-point theorem

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