广义的广义变分问题及在最优化中的应用  

Generalized generalized-variational inequalities and its applications in optimals

作　　者：薛西锋[1] 曹建荣[1] 

机构地区：[1]西北大学数学系,陕西西安710069

出　　处：《西北大学学报（自然科学版）》2007年第2期176-178,共3页Journal of Northwest University（Natural Science Edition）

基　　金：陕西省自然科学基金资助项目(2003A10);陕西省教育厅自然科学专项基金资助项目(05JK30306JK170)

摘　　要：目的为求得广义的广义变分问题的解,并实现其在最优化问题中的应用。方法利用非线性分析及不动点方法。结果在Banach空间中得出了广义的广义变分问题的解的存在性条件,并应用此结果求得鞍点问题的解。结论重新认识了广义的广义变分问题的解的存在性,据此实现了在最优化中鞍点问题求解的应用,推广了作者和O.L.Mangasbia等人过去的相关结果。Aim To get the solution of new generalized variational inequalities ties and realize it in optimize the application of the the question most. Methods To utilize nonlinear analysis and fixed point methods. Results Have obtained the existance of the solution of new generalized variational inequalities ties in Banach space and employ this results to try to get the saddle to click the solving of the question. Conclusion Re-recognize the existance of the solution of new generalized which the saddle point question relevant results in the past. variational inequalities ties, solved in the optimization, and according to the above has realized the application have popularized author and O. L. Mangasbia, et al.

关 键 词：BANACH空间 广义的广义变分不等式 η-单调 鞍点 最优解 

分 类 号：O224[理学—运筹学与控制论]