ISBN: 9789048145782

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… Meer...

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 well-posed problem which, at least in principle, is ""easy to solve"", has a solution set that does not vary too much under perturbation of the data of the problem, i. e. it is ""stable"". These themes have been studied in depth for minimum problems and now we have a general picture of the related phenomena in this case. But, of course, the same concepts can be studied in other more complicated situations as, e. g. vector optimization, game theory and variational inequalities. Let us mention that in several of these new areas there is not even a unique idea of what should be called approximate solution, and the latter is at the basis of the definition of well­ posed problem. | Recent Developments in Well-Posed Variational Problems by Roberto Lucchetti Paperback | Indigo Chapters Books > Science & Nature > Math & Physics > Mathematics P10117, Roberto Lucchetti<

ISBN: 9789048145782

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… Meer...

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 well-posed problem which, at least in principle, is "easy to solve", has a solution set that does not vary too much under perturbation of the data of the problem, i.e. it is "stable". These themes have been studied in depth for minimum problems and now we have a general picture of the related phenomena in this case. But, of course, the same concepts can be studied in other more complicated situations as, e.g. vector optimization, game theory and variational inequalities. Let us mention that in several of these new areas there is not even a unique idea of what should be called approximate solution, and the latter is at the basis of the definition of well­ posed problem. Books List_Books<

ISBN: 9789048145782

Mathematics; Optimization; Calculus of Variations and Optimal Control; Optimization; Game Theory, Economics, Social and Behav. Sciences; Functional Analysis Approximation, Calculus of Var… Meer...

Mathematics; Optimization; Calculus of Variations and Optimal Control; Optimization; Game Theory, Economics, Social and Behav. Sciences; Functional Analysis Approximation, Calculus of Variations, Interpolation, Optimal control, Vector optimization, calculus, game theory, optimization Books, Springer Nature<

ISBN: 9789048145782

Mathematics; Optimization; Calculus of Variations and Optimal Control; Optimization; Game Theory, Economics, Social and Behav. Sciences; Functional Analysis Approximation, Calculus of Var… Meer...

Mathematics; Optimization; Calculus of Variations and Optimal Control; Optimization; Game Theory, Economics, Social and Behav. Sciences; Functional Analysis Approximation, Calculus of Variations, Interpolation, Optimal control, Vector optimization, calculus, game theory, optimization Books, Springer Shop<

2010, ISBN: 9789048145782

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Softcover reprint of hardcover 1st ed. 1995, Softcover, Buch, [PU: Springer]