Existence and uniqueness of best proximity points in geodesic metric spaces (Q984061)

From MaRDI portal





scientific article; zbMATH DE number 5736417
Language Label Description Also known as
English
Existence and uniqueness of best proximity points in geodesic metric spaces
scientific article; zbMATH DE number 5736417

    Statements

    Existence and uniqueness of best proximity points in geodesic metric spaces (English)
    0 references
    13 July 2010
    0 references
    In continuation to the work of \textit{A. A. Eldred} and \textit{P. Veeramani} [J. Math. Anal. Appl. 323, No.~2, 1001--1006 (2006; Zbl 1105.54021)], the author presents different existence and uniqueness theorems of best proximity points in Banach and geodesic metric spaces. Variants of recent results are also discussed.
    0 references
    cyclic contraction
    0 references
    best proximity point
    0 references
    geodesic metric space
    0 references
    strictly convex metric space
    0 references

    Identifiers

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