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分裂混合均衡问题及其收敛算法
A split mixed equilibrium problem and its convergence algorithm

DOI: 10.7631/issn.1000-2243.2015.02.0151

Keywords: 分裂混合均衡问题 平均算子 非扩张算子 弱收敛 强收敛
split mixed equilibrium problem average operator nonexpansive operator weak convergence strong convergenceBanach

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Abstract:

引入一种分裂混合均衡问题,即求一个空间中的混合均衡问题的解,它的解在一个有界线性算子作用下的象是另一个空间中另一个混合均衡问题的解. 通过构造若干迭代算法来求解实Hilbert空间中的该问题,得到了相关的强、弱收敛定理.
Introduces a new split mixed equilibrium problem. It entails finding a solution of one mixed equilibrium problem,the image of which under a given bounded linear transformation is a solution of another mixed equilibrium problem. By using the iterative method,we construct some iterative algorithms to solve such problem in real Hilbert spaces problems and obtain some strong and weak convergence theorems

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