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

20031,403 citationsJournal Articlebronze Open Access

Authors

André C. M. Ran · Vrije Universiteit Amsterdam

Martine Reurings · Vrije Universiteit Amsterdam

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.

Topics & Keywords

Matrix Theory and Algorithms Advanced Optimization Algorithms Research Fixed Point Theorems Analysis

Publication Details

Published in: Proceedings of the American Mathematical Society

Volume 132, Issue 5, pp. 1435-1443

DOI: 10.1090/s0002-9939-03-07220-4

Field-Weighted Citation Impact: 4.03

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

Authors

Abstract

Topics & Keywords

Publication Details