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. The book aims to fill the gap
between the theoretical core of modern functional analysis and its
applicable sections, such as optimization, optimal control,
mathematical programming, economics and related subjects. The
material is intended for theoretical mathematicians looking for
possible new applications, and applied mathematicians seeking
powerful contemporary theoretical methods.
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