有限族广义渐近拟伪压缩型非自映象的迭代逼近  

Iterative approximations for finite families generalized asymptotically quasi pseudo-contractive type nonself-mappings

作　　者：张树义[1] 张芯语 聂辉 ZHANG Shuyi;ZHANG Xinyu;NIE Hui(College of Mathematics and Physics,Bohai University,Jinzhou 121013,Liaoning Province,China)

机构地区：[1]渤海大学数理学院

出　　处：《天津师范大学学报（自然科学版）》2019年第5期16-21,共6页Journal of Tianjin Normal University：Natural Science 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资助项目(YJC20170036)

摘　　要：在实赋范线性空间中引入并研究一类新的有限族几乎一致Lipschitz广义渐近拟伪压缩型非自映象,使用新的分析方法,在较弱条件下建立了这类有限族几乎一致Lipschitz广义渐近拟伪压缩型非自映象不动点具混合型误差的Reich-Takahashi型迭代序列的强收敛定理,所得结论改进和推广了有关文献中的相应结果.A new class of finite families generalized asymptotically quasi pseudo-contractive type nonself-mappings of nearly uniformly Lipschitz in real normed linear spaces is introduced and studied.By using a new analytical method,the strong convergence theorem of modified Reich-Takahashi iterative sequence with mixed errors associated with the finite families of fixed point of generalized asymptotically quasi pseudo-contractive type nonself-mappings with nearly uniformly Lipschitz is established under weaker conditions,which improve and extend the corresponding results of some references.

关 键 词：赋范线性空间 有限族几乎一致Lipschitz非自映象 广义渐近拟伪压缩型非自映象 具混合型误差的Reich-Takahashi型迭代序列 

分 类 号：O177.91[理学—数学]