均衡问题和强连续非扩张半群公共解的迭代算法

An Iterative Scheme for an Equilibrium Problem and the Common Sollutions for a Strongly Continuous Nonexpansive Semigroup

针对均衡问题和强连续非扩张算子半群的公共元问题,提出了一个新的迭代算法,在合适的条件下证明了由此迭代算法生成的序列的弱收敛定理和强收敛定理。

In this paper,we propose an iterative scheme for finding a common element of the solutions of an equilibrium problem and the fixed points of a strongly continuous semigroup of nonexpansive mapping.Under some appropriate conditions,we establish some weak and strong convergence theorems of the sequences generated by our proposed scheme.