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 Separation and Some Consequences,f convex sets and its connection to proper convex separation. Among the major applications of convex separation and relative interior results, we establish the . for convex sets, which is crucial for developing calculus rules of generalized differentiation for convex functions and set-valued mapping

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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.

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,Applications to Location Problems,e of which in numerous applications is difficult to overstate. The classical problems of this type go back to Fermat, Torricelli, Sylvester along with other mathematicians and applied scientists, but there are generalized versions of such problems that are also formulated and investigated in what fo

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Die mikrophotographische KameraThis chapter presents definitions, examples, and basic properties of convex sets and functions in the finite-dimensional Euclidean space . and also contains some related material.

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https://doi.org/10.1007/978-3-662-26149-1Our main attention in this chapter is drawn to the study of ., which belong to a rather new class of nondifferentiable functions that are challenging theoretically and important for various applications.

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