Infinite Dimensional Mathematical Programming

Terry L. Friesz ()
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Terry L. Friesz: Pennsylvania State University

Chapter Chapter 4 in Dynamic Optimization and Differential Games, 2010, pp 147-218 from Springer

Abstract: Abstract In this chapter we are concerned with the generalization of finite-dimensional mathematical programming to infinite-dimensional vector spaces. This topic is pertinent to dynamic optimization because dynamic optimization in continuous time de facto occurs in infinite-dimensional spaces since the variable x (t), even if x is a scalar, has an infinity of values for continuous $$t \in \left[t_0, t_f\right] \subseteq \mathfrak{R}^{1}_{+}$$ where t f

Keywords: Hilbert Space; Banach Space; Variational Inequality; Optimal Control Problem; Mathematical Program (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-0-387-72778-3_4

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