articleProceedings of the American Mathematical SocietySep 18, 2003BRONZE OA

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

ACAndré C. M. RanMRMartine Reurings

Vrije Universiteit Amsterdam

Indexed incrossref

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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1,407
total citations
FWCI
4.00
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100%
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Authors

2

Topics & keywords

Topics
Keywords
  • Fixed-point theorem
  • Mathematics
  • Matrix (chemical analysis)
  • Brouwer fixed-point theorem
  • Picard–Lindelöf theorem
  • Fixed point
  • Nonlinear system
  • Kakutani fixed-point theorem
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