On Regular Operator Approximation-Theory

    Authors

    R. U. Verman

    Comments

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    Abbreviated Journal Title

    J. Math. Anal. Appl.

    Keywords

    NONLINEAR EQUATIONS; SOLVABILITY; Mathematics, Applied; Mathematics

    Abstract

    In this paper the approximation-solvability of nonlinear operator equations involving phi-pseudo-monotone operators and their compact perturbations is considered not by the projection methods, but by a more general method of regular operator approximation theory-an improvement over the usual convergence method of approximate solutions in the sense that it yields the convergence of approximate solutions under minimal hypotheses. First, we obtain results in a Hilbert space setting and then upgrade them to the case of reflexive Banach spaces. Finally, an application is considered. (C) 1994 Academic Press, Inc.

    Journal Title

    Journal of Mathematical Analysis and Applications

    Volume

    183

    Issue/Number

    3

    Publication Date

    1-1-1995

    Document Type

    Article

    Language

    English

    First Page

    591

    Last Page

    604

    WOS Identifier

    WOS:A1994NN72900011

    ISSN

    0022-247X

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