Quasidense monotone multifunctions
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Publication:6280585
DOI10.1007/S11228-017-0434-7arXiv1612.02500MaRDI QIDQ6280585
Publication date: 7 December 2016
Abstract: In this paper, we discuss quasidense multifunctions from a Banach space into its dual, and use the two sum theorems proved in a previous paper to give various characterizations of quasidensity. We investigate the Fitzpatrick extension of such a multifunction. We prove that, for closed monotone multifunctions, quasidensity implies type (FPV) and strong maximality, and that quasidensity is equivalent to type (FP). This version differs from Version 3 in that a few minor errors have been corrected.
Monotone operators and generalizations (47H05) Convex functions and convex programs in convex geometry (52A41) Duality theory for topological vector spaces (46A20) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)
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