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Best Approximation in Ordered Normed Linear Spaces

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Encyclopedia of Optimization

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Article Outline

Keywords and Phrases

Introduction

Metric Projection onto Downward and Upward Sets

Sets Z + and Z -

Downward Hull and Upward Hull

Metric Projection onto a Closed Set

Best Approximation in a Class of Normed Spaces with Star-Shaped Cones

Characterization of Best Approximations

Strictly Downward Sets and Their Best Approximation Properties

References

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Author information

Authors and Affiliations

  1. Mahani Mathematical Research Center, and Department of Mathematics, University of Kerman, Kerman, Iran

    Hossein Mohebi

Authors
  1. Hossein Mohebi
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Editor information

Editors and Affiliations

  1. Department of Chemical Engineering, Princeton University, Princeton, NJ, 08544-5263, USA

    Christodoulos A. Floudas

  2. Center for Applied Optimization, Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL, 32611-6595, USA

    Panos M. Pardalos

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© 2008 Springer-Verlag

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Mohebi, H. (2008). Best Approximation in Ordered Normed Linear Spaces . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_34

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