有限族广义变分系统和不动点问题的公共解  

The Common Element of Solutions of Finite Famity General Variational Inequality System Problems and Fixed Point Problems

作　　者：李参参 王元恒 LI Cancan;WANG Yuanheng(College of Mathematics and Computer Science,Zhejiang Normal University,Zhejiang Jinhua 321004,China)

机构地区：[1]浙江师范大学数学与计算机科学学院,浙江金华321004

出　　处：《河北师范大学学报（自然科学版）》2021年第5期440-449,共10页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(11671365);浙江省自然科学基金(LY14A010011)。

摘　　要：在实Banach空间中,研究了有限个逆强增生映射广义变分不等式系统问题和渐近非扩张映射不动点问题的公共解.提出了一个新的关于广义隐式双中点法则的粘性算法来进而找到公共元.在适当的参数条件下,证明了算法中序列的一些强收敛定理.In real Banach spaces,a common element of solutions of a general variational inequality system problem for finite inversely strongly accretive mapping and fixed point problems for an asymptotically non-expansive mapping were studied.We present a new viscosity algorithm for the general implicit double midpoint rule for finding the above common element.Under suitable conditions imposed on the parameters,some strong convergence theorems of the sequence generated by the algorithm were proved.

关 键 词：广义变分不等式系统 有限个逆强增生映射 渐近非扩张映射 BANACH空间 

分 类 号：O177.91[理学—数学]