Order-reversing maps and unique fixed points in complete lattices

DOI10.1007/BF02483901zbMath0472.06003OpenAlexW2021559579MaRDI QIDQ1158176

Anders Bjoerner

Publication date: 1981

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02483901

zbMATH Keywords

fixed pointcomplete latticecomplete meet-semilatticenontransposing order-reversing self-map

Mathematics Subject Classification ID

Partial orders, general (06A06) Semilattices (06A12) Other classical set theory (including functions, relations, and set algebra) (03E20)

Related Items

Some coincidence theorems for generalized nonlinear contractions in ordered metric spaces with applications, Common fixed point theorem in partially ordered \(\mathbb L\)-fuzzy metric spaces, A Fixed Point Theorem for Decreasing Functions

Cites Work

• An extension and simple proof of a constrained lattice fixed point theorem
• A lattice-theoretical fixpoint theorem and its applications
• Subsolutions and the Supercore of Cooperative Games
• Common Fixed Points of Commuting Monotone Mappings
• Fixed points in partially ordered sets