Banach空间混合均衡问题的一种迭代算法的强收敛定理（英文）

Strong convergence of a new iterative method for mixed equilibrium problems in Banach Spaces

作者在Banach空间中针对混合均衡问题引入了一种新的迭代算法,不仅在更弱的条件下证明了解的存在性,而且得到了一个强收敛定理.与此同时,作者提出的迭代算法也解决了一些广义混合似变分不等式的解的问题,并在较弱的条件下证明了强收敛性定理.本文的结论是对其他相关文献的推广和改进.

In this paper, the authors introduce a new iterative method for solving the mixed equilibrium problems in Banach spaces. Not only the existence of approximate solutions of the mixed equilibrium problems is proven under much more weaker conditions, but also the strong convergence of approximate solutions of the mixed equilibrium problems is shown. At the same time, the authors give some iterative schemes for solving some generalized mixed variational-like inequalities to illuminate their results and prove the strong convergence under weak conditions. Thus these results extend and improve the corresponding results.