This book deals mainly with the study of convex functions and their behavior from the point of view of stability with respect to perturbations. We shall consider convex functions from the most modern point of view: a function is de?ned to be convex whenever its epigraph, the set of the points lying above the graph, is a convex set. Thus many of its properties can be seen also as properties of a certain convex set related to it. Moreover, we shall consider extended real valued functions, i. e., functions taking possibly the values and +?. The reason for considering the value +? is the powerful...
This book deals mainly with the study of convex functions and their behavior from the point of view of stability with respect to perturbations. We sha...
This volume contains several surveys focused on the ideas of approximate solutions, well-posedness and stability of problems in scalar and vector optimization, game theory and calculus of variations. These concepts are of particular interest in many fields of mathematics. The idea of stability goes back at least to J. Hadamard who introduced it in the setting of differential equations; the concept of well-posedness for minimum problems is more recent (the mid-sixties) and originates with A.N. Tykhonov. It turns out that there are connections between the two properties in the sense that a...
This volume contains several surveys focused on the ideas of approximate solutions, well-posedness and stability of problems in scalar and vector opti...
E convinzione generale che la matematica sia una materia difficile da capire, che usa simboli esoterici e un linguaggio poco comprensibile, che sia soprattutto calcolo. Certamente, e una materia particolare, che ha bisogno di formule e che necessita di un linguaggio formale a volte molto sofisticato. Tuttavia, e anche una scienza piena di idee, che non hanno solo la funzione di progredire in una qualche teoria o di servire altre scienze per i loro modelli quantitativi. Come la filosofia, come la letteratura, la matematica e utile all uomo per cercare di capire un po meglio il mondo che lo...
E convinzione generale che la matematica sia una materia difficile da capire, che usa simboli esoterici e un linguaggio poco comprensibile, che sia...
