Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/3231

 Title: Submonotone mappings in Banach spaces and applications Authors: Georgiev, Pando Gr. Keywords: Department of Operations Research Issue Date: 27-Oct-1993 Publisher: Institute of Mathematics with Computer Center at the Bulgarian Academy of Sciences Citation: Preprint Series/Report no.: 1993;11 Abstract: The notions "submonotone" and "strictly submonotone" mapping, introduced by J. Spingarn in R^n, are extended by a natural way to arbitrary Banach spaces. Some results about monotone operators are proved for submonotone and strictly submonotone ones: Rockafellar’s result about locally boundedness of monotone operators; Kenderov’s result about single-valuedness and upper-semicontinuity almost everywhere of monotone operators in Asplund spaces and spaces with strictly convex duals. It is shown that subdifferentials of various closses non-convex functions possess submonotone properties. Results about generic differentiability of such functions are obtained (among them is a Zajisek’s and a new generalization of an Ekeland and Lebourg’s theorem) Description: [Georgiev Pando Gr.; Георгиев Пандо Гр.] URI: http://hdl.handle.net/10525/3231 Appears in Collections: Preprints

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