Phi-Stable Operators And Inner Approximation-Solvability

    Authors

    R. U. Verma

    Comments

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    Abbreviated Journal Title

    Proc. Amer. Math. Soc.

    Keywords

    A-Proper; Equations; Mathematics, Applied; Mathematics

    Abstract

    We extend, by applying a theorem of Petryshyn (1970), the approximation-solvability of the nonlinear functional equations involving strongly stable Hilbert space mappings to the case of strongly phi-stable mappings-a new and rather general class of mappings. These mappings constitute a generalization of monotone mappings. Finally, we upgrade the obtained results to the case of Banach space mappings.

    Journal Title

    Proceedings of the American Mathematical Society

    Volume

    117

    Issue/Number

    2

    Publication Date

    1-1-1993

    Document Type

    Article

    Language

    English

    First Page

    491

    Last Page

    499

    WOS Identifier

    WOS:A1993KK10500027

    ISSN

    0002-9939

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