Umfang:
1 Online-Ressource (XIV, 526 p)
ISBN:
9781461302995
,
9781461379850
Serie:
Nonconvex Optimization and Its Applications 38
Anmerkung:
In the fifties and sixties, several real problems, old and new, especially in Physics, Mechanics, Fluidodynamics, Structural Engi neering, have shown the need of new mathematical models for studying the equilibrium of a system. This has led to the formulation of Variational Inequalities (by G. Stampacchia), and to the development of Complementarity Systems (by W.S. Dorn, G.B. Dantzig, R.W. Cottle, O.L. Mangasarian et al.) with important applications in the elasto-plastic field (initiated by G. Maier). The great advantage of these models is that the equilibrium is not necessarily the extremum of functional, like energy, so that no such functional must be supposed to exist. In the same decades, in some fields like Control Theory, Networks, Industrial Systems, Logistics, Management Science, there has been a strong request of mathmatical models for optimizing situations where there are concurrent objectives, so that Vector Optimization (initiated by W. Pareto) has received new impetus. With regard to equilibrium problems, Vector Optimization has the above-mentioned drawback of being obliged to assume the existence of a (vector) functional. Therefore, at the end of the seventies the study of Vector Variational Inequalities began with the scope of exploiting the advantages of both variational and vector models. This volume puts together most of the recent mathematical results in Vector Variational Inequalities with the purpose of contributing to further research
Sprache:
Englisch
Schlagwort(e):
Variationsungleichung
;
Mehrkriterielle Optimierung
;
Topologischer Vektorraum
DOI:
10.1007/978-1-4613-0299-5
URL:
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