A Fixed Point Theorem for Image-Intersecting Mappings

DOI10.2307/2042351zbMath0423.06001OpenAlexW4243753260MaRDI QIDQ3856814

Alexander Abian

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/2042351

zbMATH Keywords

fixed point theoremorder reversing mapsimply ordered set

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Total orders (06A05)

Related Items (1)

A note on the relationship between the isotone assumption of the Abian-Brown fixed point theorem and Abian's most basic fixed point theorem

Cites Work

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• Fixed point theorems for acyclic and dendritic spaces
• A Theorem on Partially Ordered Sets, With Applications to Fixed Point Theorems
• Some Fixed Point Theorems for Partially Ordered Sets
• Fixed Points of Antitone Mappings
• On the Existence of Fixed Points in a Totally Ordered Set
• Fixed Points of Order Preserving Multifunctions
• Fixed points in partially ordered sets

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