广义渐近S-半压缩型映象迭代逼近  

On the Iterative Approximations for Generalized Asymptotically S-Demicontractive Type Mappings

作　　者：张树义[1] 赵美娜[1] 丛培根 ZHANG Shuyi;ZHAO Meina;CONG Peigen(College of Mathematics and Physics,bohai University,Jinzhou Liaoning 121013,China)

机构地区：[1]渤海大学数理学院,辽宁锦州121013

出　　处：《西华师范大学学报（自然科学版）》2017年第4期398-404,共7页Journal of China West Normal University(Natural Sciences)

基　　金：国家自然科学基金资助项目(11371070)

摘　　要：在实赋范线性空间中引入并研究一类新的广义渐近S-半压缩型映象,使用新的分析方法,在较弱条件下建立了有限族一致Lipschitz广义渐近S-半压缩型映象不动点具有误差的迭代序列的强收敛定理,我们获得的结果改进和推广了有关文献中的相应结果。The purpose of this paper is to introduce and explore a new class of generalized asymptotically S-demi-contractive type mappings in real normed linear spaces.The strong convergence theorem of iterative sequences with error associated with a finite family of uniformly Lipschitz generalized asymptotically S-demi-contractive type mappings is established under weaker conditions by a new analytical method.The results achieved are an improvement and extension of the previously known results.

关 键 词：赋范线性空间 广义渐近S 半压缩型映象 一致Lipschitz映象 具有误差的迭代序列 

分 类 号：O177.91[理学—数学]