| 一类非凸非线性分式规划的最优性条件 |
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| 引用本文： | 姚元金. 一类非凸非线性分式规划的最优性条件[J]. 湖北民族学院学报(自然科学版), 2009, 27(2) |
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| 作者姓名： | 姚元金 |
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| 作者单位： | 吉首大学数学与计算机科学学院,湖南吉首,416000 |
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| 摘 要： | 引入了广义不变凸、广义不变伪凸和广义不变拟凸等几类新的广义不变凸函数概念,使凸函数得到更广泛的推广,并由此进一步给出并证明了在这些新广义不变凸性条件下,一类非凸非线性分式规划的一些最优性充分条件.
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| 关 键 词： | 广义不变凸 非线性分式规划 最优性条件 最优解 |
Optimality Conditions for a Class of Nonconvex Nonlinear Fractional Programming |
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| YAO Yuan-jin. Optimality Conditions for a Class of Nonconvex Nonlinear Fractional Programming[J]. Journal of Hubei Institute for Nationalities(Natural Sciences), 2009, 27(2) |
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| Authors: | YAO Yuan-jin |
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| Affiliation: | College of Mathematics and Computer Science;Jishou University;Jishou 416000;China |
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| Abstract: | In this paper,several classes of new generalized invexity conditions are defined on the basis of defined generalized invexity conditions.They are generalized invex,generalized pseudoconvex,generalized quasiconvex function and so on.The convex function is more widely extended.And then some optimal sufficient conditions are proved under these new generalized invexity sufficient conditions for a class of nonconvex nonlinear fractional programming. |
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| Keywords: | generalized invexity nonlinear fractional programming optimal conditions optimal solution |
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