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Necessary optimality criteria in mathematical programming in normed linear spaces

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Abstract

In this study, we develop optimality criteria for a mathematical programming problem. The constraints are defined by an arbitrary set as well as infinitely many equality and inequality constraints. Necessary conditions of the Kuhn-Tucker type are obtained.

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Authors and Affiliations

  1. School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, Georgia

    M. S. Bazaraa (Associate Professor)

  2. School of Applied Mathematics, Georgia Institute of Technology, Atlanta, Georgia

    J. J. Goode (Associate Professor)

Authors
  1. M. S. Bazaraa
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  2. J. J. Goode
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Communicated by H. Halkin

The authors wish to thank Professor M. Z. Nashed, School of Mathematics, Georgia Institute of Technology, for helpful discussion and for bringing to their attention Refs. 8–10.

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Bazaraa, M.S., Goode, J.J. Necessary optimality criteria in mathematical programming in normed linear spaces. J Optim Theory Appl 11, 235–244 (1973). https://doi.org/10.1007/BF00935191

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