Optimization with Increasing Objective Functions

Alexander J. Zaslavski ()
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Alexander J. Zaslavski: Technion - Israel Institute of Technology

Chapter 7 in Optimization on Metric and Normed Spaces, 2010, pp 267-309 from Springer

Abstract: Abstract Let K be a nonempty closed subset of a Banach ordered space $$(X,||\cdot ||,\geq).$$ A function $$f:K \to R^1 \cup \{ + \infty \}$$ is called increasing if $$f(x) \leq f(y)\ {\rm for\ all}\ x,y \in K\ {\rm such\ that}\ x \leq y.$$

Keywords: Natural Number; Minimization Problem; Variational Principle; Closed Subset; Unique Point (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-0-387-88621-3_7

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