Subdifferentials: Theory and Applications
Kluwer Academic Publishers, 1995 - Mathematics - 398 pages
Presenting the most important results of a new branch of functional analysis - subdifferential calculus and its applications - this monograph details new tools and techniques of convex and non-smooth analysis, such as Kantorovich spaces, vector duality, Boolean-valued and infinitesimal versions of non-standard analysis, covering a wide range of topics.
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Convex Correspondences and Operators
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according acting addition algebraic analysis apply arbitrary assertion assume Banach space band bounded calculating called canonical clear Clearly closed coincides complete conclude condition cone conic Consequently Consider contained continuous converges convex correspondence convex operator convex set correspondence defined definition Denote element equality equicontinuous equivalent established exists extension extreme fact filter formula function given Hence holds homomorphism ideal implies inclusion increasing inequality introduce ISBN K-space lattice linear operators lower mapping Math means method Moreover multiplication neighborhood nonempty observe obtain obvious optimality origin pair particular positive possesses principle problem projection proof prove regular relation remains representation respect rule satisfy segment sequence standard statement subdifferential sublinear operator subset Suppose Take theorem theory topological valid values vector space weakly