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Infinitesimals and Subdifferentials
2002The nonstandard methods of analysis have been applied to various fields of mathematics. In the present chapter we shall consider the use of infinitesimals in subdifferential calculus, one of the new branches of functional analysis which originated from evolution of the theory of extremal problems.
E. I. Gordon +2 more
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On σ-Subdifferential Polarity and Fréchet σ-Subdifferential
Numerical Functional Analysis and Optimization, 2023Mohammad Hossein Alizadeh +1 more
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1995
There are various connections and interrelations between convex objects which make the latter a convenient tool for investigation of numerous problems. One of the most general form of such relations is granted by the Minkowski duality. It is sufficient to study the duality for some particular class of objects under consideration, for instance, for ...
A. G. Kusraev, S. S. Kutateladze
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There are various connections and interrelations between convex objects which make the latter a convenient tool for investigation of numerous problems. One of the most general form of such relations is granted by the Minkowski duality. It is sufficient to study the duality for some particular class of objects under consideration, for instance, for ...
A. G. Kusraev, S. S. Kutateladze
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On Second-Order Subdifferentials and Their Applications
SIAM Journal on Optimization, 2001Boris S Mordukhovich
exaly