一致Lipschitz映象粘滞平行迭代算法的强收敛性  

Strong Convergence Theorem of Viscosity Parallel Iterative Algorithm for Uniformly Lipschitz Mapping

作　　者：丛培根 张树义[1] 赵亚莉[1] CONG Pei-gen;ZHANG Shu-yi;ZHAO Ya-li(College of Mathematics and Physics,Bohai University,Jinzhou 121013,China)

机构地区：[1]渤海大学数理学院,辽宁锦州121013

出　　处：《烟台大学学报（自然科学与工程版）》2018年第2期98-104,共7页Journal of Yantai University(Natural Science and Engineering Edition)

基　　金：国家自然科学基金资助项目(11371070);渤海大学研究生创新基金项目(YJC20170036)

摘　　要：在实赋范线性空间研究一致Lipschitz映象粘滞平行迭代算法的收敛性问题,在较弱条件下建立了广义渐近Ф-半压缩型映象不动点的粘滞平行迭代算法的强收敛定理,从而推广和改进了有关文献中的相应结果.We study convergence problems of viscosity parallel iterative algorithm for uniformly L-Lipschitzian mappings in normed linear spaces.Strong convergence theorem of viscosity parallel iterative algorithm of fixed point for generalized asymptoticallyΦ-demicontractive type mappings in normed linear spaces is established under weaker conditions,which improves and extends the corresponding results of some references.

关 键 词：赋范线性空间 广义渐近Φ-半压缩型映象 一致Lipschitz映象 粘滞平行迭代算法 

分 类 号：O171.91[理学—数学]