• a new topological degree theory for perturbations of the sum of two maximal monotone operators

    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1390/01/01
    • تاریخ انتشار در تی پی بین: 1390/01/01
    • تعداد بازدید: 310
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
    let x be an infinite dimensional real reflexive banach space with dual space x and g x, open and bounded. assume that x and x are locally uniformly convex. let t : x d(t ) → 2x be maximal monotone and strongly quasibounded, s : x d(s) → x maximal monotone, and c : x d(c) → x strongly quasibounded w.r.t. s and such that it satisfies a generalized (s+)-condition w.r.t. s. assume that d(s) = l d(t ) ∩ d(c), where l is a dense subspace of x, and 0 t (0), s(0) = 0. a new topological degree theory is introduced for the sum t +s+c, with degree mapping d(t +s+c, g, 0). the reason for this development is the creation of a useful tool for the study of a class of time-dependent problems involving three operators. this degree theory is based on a degree theory that was recently developed by kartsatos and skrypnik just for the single-valued sum s +c, as above.

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