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The Iterative Methods for Solving Pseudomontone Equilibrium Problems
Journal of Scientific Computing ( IF 2.8 ) Pub Date : 2020-09-07 , DOI: 10.1007/s10915-020-01298-7 Jun Yang
中文翻译:
求解伪蒙特酮平衡问题的迭代方法
更新日期:2020-09-08
Journal of Scientific Computing ( IF 2.8 ) Pub Date : 2020-09-07 , DOI: 10.1007/s10915-020-01298-7 Jun Yang
In this article, we introduce two new algorithms for solving equilibrium problems involving pseudomontone and Lipschitz-type bifunctions in real Hilbert space. The algorithms use a nonmonotonic step size. We establish weak convergence theorems without the knowledge of the Lipschitz-type constants of bifunction.
中文翻译:
求解伪蒙特酮平衡问题的迭代方法
在本文中,我们介绍了两种新的算法,用于解决实际希尔伯特空间中涉及伪蒙特酮和Lipschitz型双功能的平衡问题。该算法使用非单调步长。我们建立了弱收敛定理,而没有双功能的Lipschitz型常数的知识。