| Global optimality problems are worthy studied, because they usually appear in many applied field. In this paper, several new global optimality conditions are proposed, which are about multiobjective programming problem and a class of quadratic program problem with quadratic constrains. It consists of three chapters.There are some global optimality fundamental definitions and concludes introduced in the first chapter. Then several special form global optimality conditions are proposed about quadratic program.In the second chapter, a class of quadratic program problem with quadratic constrains is studied. Some sufficient global optimality conditions for some nonconvex quadratic program problems with quadratic constrains are presented according to the property of L-subdifferential. Then, this conclusion can be generalized.Some optimality conditions of a class of multiobjective programming problem about true efficient solution are proposed in the third chapter. The global optimality conditions are studied according to Kuhn-Tucker condition via underestimators. The conclusion can be generalized. |
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