多值非扩张映射的广义混合平衡问题的不动点解  

Fixed Point Solutions of Generalized Mixed Equilibrium Problems for Multi-Valued Non-Expansive Mappings

作　　者：陈丫丫[1] 王光[2] 

机构地区：[1]太原大学教育学院数学系,山西太原030001 [2]山西大学数学科学学院,山西太原030006

出　　处：《中北大学学报（自然科学版）》2013年第5期555-559,共5页Journal of North University of China(Natural Science Edition)

摘　　要：引入了多值非扩张映射的概念,研究了多值非扩张映射的不动点集与广义混合平衡问题的公共点问题.利用不动点理论,在巴拿赫空间中构造了一种迭代算法.利用最佳逼近方法和度量投影方法,证明了此算法强收敛到多值非扩张映射的不动点集与广义混合平衡问题的公共点,并且推广了以前的结论.The concept of multi-valued non-expansive mappings was introduced, the fixed point set of multi- valued non-expansive mappings and the common point problem of generalized mixed equilibrium problems were studied. An iterative scheme was constructed by using the fixed point theory in Banach space. It is proved that the scheme is strong convergence to the fixed point set of multi-valued non-expansive mappings and the common point of generalized mixed equilibrium problems and the scheme generalizes the previous con- clusion by using the best approximation method and measure the projection method.

关 键 词：多值非扩张映射 广义混合平衡问题 变分不等式 HAUSDORFF度量 

分 类 号：O177.91[理学—数学]