A fixed point theorem in partially ordered sets and some applications to matrix equations

Ran, André; Reurings, Martine

doi:10.1090/S0002-9939-03-07220-4

A fixed point theorem in partially ordered sets and some applications to matrix equations
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by André C. M. Ran and Martine C. B. Reurings PDF

Proc. Amer. Math. Soc. 132 (2004), 1435-1443 Request permission

Abstract:

An analogue of Banach’s fixed point theorem in partially ordered sets is proved in this paper, and several applications to linear and nonlinear matrix equations are discussed.

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