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## Necessary conditions for a solution of a non-linear programming problem

The conditions required for a solution of general non-linear programming problems of the form

min{f(x): x є X, g(x) ≤ 0, h(x)=0};

where f is called the objective function, g the inequality constraint and. h the equality constraint, are presented in this thesis. The following cases are studied:

(1) X, a finite dimensional space; f, a real valued function; and g and h finite dimensional vector functions.

(2) X, an infinite dimensional space; f, a real valued function; and g and h either finite or infinite dimensional vector functions.

An application of this type of problem to optimal control will be given and the recent developments in this area will be discussed. / Science, Faculty of / Mathematics, Department of / Graduate

Identifer | oai:union.ndltd.org:UBC/oai:circle.library.ubc.ca:2429/32767 |

Date | January 1973 |

Creators | Lee, Linda May |

Publisher | University of British Columbia |

Source Sets | University of British Columbia |

Language | English |

Detected Language | English |

Type | Text, Thesis/Dissertation |

Rights | For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use. |

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