Hilbert空间中广义似平衡问题与k-严格伪压缩映象的强收敛定理  

Strong Convergence Therorem for Generalized Equilibrium-like Problem and k-Strict Pseudo-contraction Mapping in Hilbert Spaces

作　　者：高文娟[1] 何中全[1] 

机构地区：[1]西华师范大学数学与信息学院,四川南充637002

出　　处：《乐山师范学院学报》2014年第12期26-33,38,共9页Journal of Leshan Normal University

基　　金：教育部科学技术重点项目(211163)

摘　　要：在Hilbert空间中,用FAN-KKM定理导出了广义似平衡问题的辅助问题的解的存在性和唯一性,在适当的条件下,引入和研究了一种新的混合迭代序列,用以寻求广义似平衡问题的解集与一个k-严格伪压缩映象的不动点集的公共元。In Hilbert Spaces,by using the FAN-KKM theorem,the existence and uniqueness of solutions of the auxiliary problem for generalized equilibrium-like problem is derived.Under suitable conditions,it is proven that a new hybrid iterative scheme converge strongly to a common element of the set of solutions of a generalized equilibrium-like problem and the set of fixed points of a k-strict pseudo-contraction mapping.

关 键 词：广义似平衡问题 k-严格伪映象 不动点问题 

分 类 号：O177.91[理学—数学]