1976Proceedings of the American Mathematical SocietyOpen access

Uniqueness in the Schauder fixed point theorem

R. Bruce Kellogg

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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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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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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, Picard–Lindelöf theorem, Kakutani fixed-point theorem, Fixed point, Brouwer fixed-point theorem

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