P型B-E内凸函数的全局非线性规划
The Global Non-linear Programming of B-E-preinvex Function
摘要
在E凸集上,定义P型B-E内凸函数,讨论该函数的一些性质及在全局非线性规划中的应用。
The present paper aims to introduce an B-E-preinvex function,and discuss some of their properties and do some applications in the global non-linear programming.
参考文献5
-
1C. Fulga a,*, V. Preda b, Continuous Optinfization Nonlinear programming with E-preinvex and local E-preinvex functions, European Journal of Operational Research (2008),doi:10.1016/j.ejor.2007.11.056.
-
2Xiusu Chen Some properties of semi-E-convex functions J. Math. Anal. Appl. 275 (2002):251-262.
-
3E.A. Youness, E-convex sets, E-convex functions, and E-convex programming, J. Optim. Theory Appl. 102 (1999):439-450. Analysis. Wiley Interscience Publication, Berlin, 1984.
-
4X.M. Yang, On E-convex set, E-convex function and E-convex programming, J. Optim. Theory Appl. 109 (2001):699-703.
-
5杨应明,李信韬.P型B-E内凸函数的局部非线性规划[J].六盘水师范高等专科学校学报,2010,22(3):17-19. 被引量：1
二级参考文献4
-
1C.Fulga a,*,V.Preda b,Continuous Optimization Nonlinear programming with E-preinvex and local E-preinvex functions,European Journal of Operational Research (2008),DOI:10.1016/j.ejor.2007.11.056.
-
2Xiusu Chen Some properties of semi-E-convex functions J.Math.Anal.Appl.275 (2002) 251-262.
-
3E.A.Youness,E-convex sets,E-convex functions,and E-convex programming,J.Optim.Theory Appl.102 (1999) 439-450.Analysis.Wiley Interscience Publication,Berlin,1984.
-
4X.M.Yang,On E-convex set,E-convex function and E-convex programming,J.Optim.Theory Appl.109 (2001) 699-703.
