Banach空间中单值非扩张映射和多值非扩张映射公共不动点混合迭代逼近研究  

Mixed Iterative Approximation of Common Fixed Points for Single-valued and Multi-valued Nonexpansive Mappings in Banach Space

作　　者：刘涌泉 LIU Yong-quan(School of Primary Education,Ji’an Vocational and Technical College,Ji'an 343000,China)

机构地区：[1]吉安职业技术学院小学教育学院,江西吉安343000

出　　处：《数学的实践与认识》2021年第2期259-267,共9页Mathematics in Practice and Theory

摘　　要：引入了两个单值非扩张映射与两有限族多值非扩张映射新的混合迭代,在Banach空间中,研究了两个单值非扩张映射与两有限族多值非扩张映射在新迭代下关于公共不动点的收敛性,改进和推广了已有文献相关的结果.A new mixed iteration for two single-valued nonexpansive mappings and two finite family multivalued nonexpansive mappings is introduced.In Banach spaces,the convergence of two single-valued nonexpansive mappings and two finite family multivalued nonexpansive mappings under the new iterations is studied.The results in this paper improve and extend some corresponding results.

关 键 词：一致凸BANACH空间 多值非扩张映射 混合迭代 公共不动点 强收敛 

分 类 号：O177.91[理学—数学]