The uniqueness of fixed points for decreasing operators. (Q1767137)

From MaRDI portal





scientific article; zbMATH DE number 2140755
Language Label Description Also known as
English
The uniqueness of fixed points for decreasing operators.
scientific article; zbMATH DE number 2140755

    Statements

    The uniqueness of fixed points for decreasing operators. (English)
    0 references
    7 March 2005
    0 references
    The author presents a necessary and sufficient condition for a decreasing operator to have at most one fixed point. This result is employed to derive uniqueness criteria for a discontinuous Cauchy problem for an ordinary differential equation as well as for a periodic second order boundary value problem.
    0 references
    fixed point
    0 references
    decreasing operator
    0 references
    directed set
    0 references
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references
    0 references