渐近拟非扩张映射三步混合迭代算法的收敛性  

THE CONVERGENCE OF A NEW THREE-STEP MIXED ITERATIVE SCHEME FOR ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS

作　　者：刘涌泉 杨旭 谢涛[2] LIU Yong-quan;YANG Xu;XIE Tao(Normal School,Ji＇an College,Ji＇an,Jiangxi 343000,China;Department of Cultural Foundation,Changzhou Hygiene Vocational Technology College,Changzhou,Jiangsu 213002,China)

机构地区：[1]吉安职业技术学院师范学院,江西吉安343000 [2]常州卫生高等职业技术学校文化基础部,江苏常州213000

出　　处：《井冈山大学学报（自然科学版）》2018年第5期7-12,共6页Journal of Jinggangshan University (Natural Science)

基　　金：吉安职业技术学院教研项目(16JY135)

摘　　要：本文引入了关于三个渐近拟非扩张自映射和三个渐近拟非扩张非自映射新的三步混合迭代算法,在实Banach空间中,获得了渐近拟非扩张自映射和渐近拟非扩张非自映射在新的三步混合迭代算法下的强收敛的充分必要条件,所得结果推广和改进了许多相关文献的结论。A new three-step mixed iterative scheme for three asymptotically quasi-nonexpansive self-mappings and three asymptotically quasi-nonexpansive nonself-mappings is introduced. Several convergence theorems are established in real Banach spaces. Our results improve and extend the results announced by many others.

关 键 词：公共不动点 BANACH空间 三步迭代 渐近拟非扩张自映射 渐近拟非扩张非自映射 

分 类 号：O177.91[理学—数学]