Titlebook: An Easy Path to Convex Analysis and Applications; Boris Mordukhovich,Nguyen Mau Nam Book 2023Latest edition The Editor(s) (if applicable)

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Convex Generalized Differentiation,This chapter is devoted to basic constructions of convex generalized differentiation. Using the separation theorems and the intersection rule for normals to convex sets, we develop basic calculus results for subdifferentials of extended-real-valued convex functions and coderivatives of convex set-valued mappings/multifunctions.

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,Remarkable Consequences of?Convexity,This chapter is devoted to remarkable topics of convex analysis that, together with subdifferential calculus, Fenchel conjugates and related results of previous chapters, constitute major achievements of this discipline highly important for many applications—first of all, to convex optimization.

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Boris Mordukhovich,Nguyen Mau NamExplains the fundamental theory with an accessible and understandable variational geometric approach.Provides easy access to theoretical and numerical applications to convex optimization and geometry.

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Synthesis Lectures on Mathematics & Statisticshttp://image.papertrans.cn/a/image/154906.jpg

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,Applications to?Problems of?Optimization and?Equilibrium,ers in optimization problems and of Nash equilibria in two-person games, necessary and sufficient optimality conditions in convex constrained optimization, and subgradient methods to solve such problems numerically in both unconstrained and constrained frameworks.