Optimization with Increasing Objective Functions

Part of the Springer Optimization and Its Applications book series (SOIA, volume 44)


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 \(f(x) \leq f(y)\ {\rm for\ all}\ x,y \in K\ {\rm such\ that}\ x \leq y.\)


Natural Number Minimization Problem Variational Principle Closed Subset Unique Point 
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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of MathematicsTechnion - Israel Institute of TechnologyHaifaIsrael

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