广义的广义变分问题及在最优化中的应用

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。

Generalized generalized-variational inequalities and its applications in optimals

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 variational inequalities ties,according to the above has realized the application which the saddle point question solved in the optimization,and have popularized author and O.L.Mangasbia,et al.relevant results in the past.