Bregman弱相对非扩张映象与均衡问题的强收敛定理

Convergence theorems for a common solution of Bregman weak relatively nonexpansive mappings and equilibrium problem

摘要:

摘要：在自反的Banach空间中,对可数族Bregman弱相对非扩张映象的不动点集与均衡问题解集的公共元,引入一种新的混合迭代算法.在对参数进行适当的限制后,证明了此迭代算法产生的序列具有强收敛性.

Abstract:

Abstract: In this paper, we propose a new hybrid iterative scheme for finding a common solution to equilibrium problem and fixed point of Bregman weak relatively nonexpansive mappings in reflexive Banach spaces. Moreover, we prove the strong convergence theorems for the sequences produced by the methods under some suitable assumptions.