On the convergence of the Ishikawa iterates to a common fixed point for a pair of multi-valued mappings (Q1382386)

From MaRDI portal





scientific article; zbMATH DE number 1134610
Language Label Description Also known as
English
On the convergence of the Ishikawa iterates to a common fixed point for a pair of multi-valued mappings
scientific article; zbMATH DE number 1134610

    Statements

    On the convergence of the Ishikawa iterates to a common fixed point for a pair of multi-valued mappings (English)
    0 references
    0 references
    0 references
    26 March 1998
    0 references
    \textit{R. A. Rashwan} [Demonstr. Math. 28, 271-274 (1995; Zbl 0862.47037)] has shown that, for a pair of self-mappings \(S\), \(T\) satisfying some contractive conditions, if the sequence of Ishikawa iterates associated with \(S\) or \(T\) is convergent, then its limit point is a common fixed point of \(S\) and \(T\). In the present paper, the author extends these results for a pair of multi-valued mappings \(S\), \(T\) in normed spaces, using the Ishikawa iteration process.
    0 references
    fixed point theorems
    0 references
    multi-valued mappings
    0 references
    Ishikawa iterates
    0 references
    Hausdorff metric
    0 references

    Identifiers