不具Lipschitz条件的Browder变分不等式解的Ishikawa迭代算法

The Ishikawa Iterative Algorithms to Solutions of Browder Variational Inequalities without Lipschitz Continuous Mappings

在Hilbert空间H中,得到映象T:H→H不具Lipschitz连续性条件的Browder变分不等式〈Tu-f,y-u〉 φ(u)-φ(y), y∈H的带有误差的Ishikawa迭代算法;结果改进和推广了文献中某些已知的结果.

In Hilbert space H, we obtain the Ishikawa iterative algorithms with errors to solutions of Browder variational inequalities 〈Tu-f,y-u〉φ(u)-φ(y), y∈Hfor the mapping T:H→H without Lipschitz continuous condition. The results of this paper improve and generalize some known results in the literature.