非扩张半群与变分不等式公共解的黏滞迭代逼近  

Viscosity iterative approximation of common solutions for nonexpansive semigroups and variational inequalities

作　　者：张树义[1] 刘冬红[1] 丛培根 ZHANG Shuyi;LIU Donghong;CONG Peigen(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：《轻工学报》2018年第4期86-100,108,共16页Journal of Light Industry

基　　金：国家自然科学基金项目(11371070)

摘　　要：使用非扩张半群隐式和显式黏滞迭代算法,在Hilbert空间中建立了非扩张半群的公共不动点集与具有强单调映象的变分不等式解集的公共元素的强收敛定理,从而推广和改进了相关文献中的结果.Using the implicit and explicit viscous iterative algorithms for nonexpansive semigroups, convergence theorem of the common elements of the set of common fixed points of nonexpansive semigroups and the set ofvariational inequalities with a strongly monotone maps were established in Hilbert space, which generalized and improved the results in related literature.

关 键 词：非扩张半群 变分不等式 隐式和显式黏滞迭代算法 可逆-强单调 

分 类 号：O177.91[理学—数学]