Abstract
Necessary conditions in the form of multiplier rules are given for a function to have a constrained minimum. First-order differentiability conditions are imposed, and various combinations of set, equality, and inequality constraints are considered in arbitrary normed linear spaces.
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Communicated by L. D. Berkovitz
This paper is based upon part of the author's doctoral dissertation at Ohio University, Athens, Ohio.
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Bender, P.J. Nonlinear programming in normed linear spaces. J Optim Theory Appl 24, 263–285 (1978). https://doi.org/10.1007/BF00933281
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DOI: https://doi.org/10.1007/BF00933281