有限多个广义混合平衡问题的一般迭代法及在优化中的应用

发布时间：2018-03-16 00:27

本文选题：一般迭代方法　切入点：优化问题　出处：《上海师范大学》2017年硕士论文　论文类型：学位论文

【摘要】：本文在实Hilbert空间中引入了某特定优化问题的两个一般迭代法,该优化问题的约束集为一个连续单调映象的变分不等式问题的解集、有限多个连续伪压缩映象公共不动点集和有限多个广义混合均衡问题的解集的交集.在一些适度的控制条件下,建立了所建议的方法强收敛到交集的一元,该元是某个优化问题的唯一解。由此即得交集的唯一的范数最小的元.本文给出的结果改进和推广了较早的与最新的文献中相应结果.
[Abstract]:In this paper, two general iterative methods for a particular optimization problem are introduced in real Hilbert spaces. The constrained set of the optimization problem is the solution set of a variational inequality problem with continuous monotone mapping. The intersection of common fixed point sets for finite continuous pseudo contractive mappings and solution sets for a finite number of generalized mixed equilibrium problems is obtained. Under some moderate control conditions, the proposed method strongly converges to the intersection of one element. This element is the unique solution of an optimization problem. Thus, the unique minimum norm of the intersection is obtained. The results given in this paper improve and generalize the corresponding results in earlier and most recent literatures.
【学位授予单位】：上海师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O177.1

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