Titlebook: An Easy Path to Convex Analysis and Applications; Boris S. Mordukhovich,Nguyen Mau Nam Book 2014 Springer Nature Switzerland AG 2014

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Convex Sets and Functions,This chapter presents definitions, examples, and basic properties of convex sets and functions in the Euclidean space ℝ. and also contains some related material.

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Solutions and Hints for Selected Exercises,This final part of the book contains hints for selected exercises. Rather detailed solutions are given for several problems.

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Subdifferential Calculus,ysis based on convex separation for extremal systems of sets allows us to derive general calculus rules for normals to sets and subgradients of functions. We also include into this chapter some related results on Lipschitz continuity of convex functions and convex duality. Note that some extended ve

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Applications to Optimization and Location Problems, location. Applications to optimization problems are mainly classical, being presented however in a simplified and unified way. On the other hand, applications to location problems are mostly based on recent journal publications and have not been systematically discussed from the viewpoint of convex

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Subdifferential Calculus,ons. We also include into this chapter some related results on Lipschitz continuity of convex functions and convex duality. Note that some extended versions of the presented calculus results can be found in exercises for this chapter, with hints to their proofs given at the end of the book.

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Book 2014y universities and being used by researchers of different fields. As convex analysis is the mathematical foundation for convex optimization, having deep knowledge of convex analysis helps students and researchers apply its tools more effectively. The main goal of this book is to provide an easy acce

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