Axiom of infinite choice, transversal ordered spring spaces and fixed points

DOI10.1186/s13663-018-0635-2zbMath1464.54027OpenAlexW2796199988WikidataQ114007881 ScholiaQ114007881MaRDI QIDQ1654443

Milan R. Tasković

Publication date: 8 August 2018

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13663-018-0635-2

zbMATH Keywords

fixed pointspartially ordered metric spacespartially ordered spacesaxiom of infinite choiceincreasing inductivenessincreasing mappingslemma of infinite maximalitylower and upper (distribution) functionsnoncomplete spacesspaces with the non-numerical transversalstransversal edges (upper, lower, and middle) spacestransversal ordered spring spaces

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Ordered sets (06A99) Axiom of choice and related propositions (03E25)

Related Items (1)

Coupled fixed point theorems in partially ordered metric spaces via mixed \(g\)-monotone property

Cites Work

• Some generalization of an abstract contraction mapping principle
• The Fixed Point Property and Cartesian Products
• The Axiom of Choice, Fixed Point Theorems, and Inductive Ordered Sets
• Characterizations of Inductive Posets with Applications
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