In this book we focus our attention on minimization problems and develop a convergence theory for sequences of functions, called epi-aonvergence, which may be regarded as the "weakest" notion which allows to approach the limit in the corresponding minimization problems. This concept of convergence thus has natural applications in all branches of optimization theory - from stochastic optimization, optimal control, numerical analysis and approximation to calculus of variations and perturbation problems in physics.
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