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渐近拟非扩张映射关于混合迭代算法的收敛性

The Convergence of A New Mixed Iterative Scheme for Asymptotically Quasi-nonexpansive Mappings
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摘要 引入了关于两个渐近拟非扩张自映射和两个渐近拟非扩张非自映射的新型混合迭代算法.在Banach空间中,获得了渐近拟非扩张自映射和非自映射在新型混合迭代算法下的强收敛定理,所得结果推广了许多相关文献的结论. A new mixed iterative scheme for two asymptotically quasi-nonexpansive self-mappings and two asymptotically quasi-nonexpansive nonself-mappings is introduced. Several convergence theorems are established in Banach spaces. Our results extend the results announced by many others.
作者 刘涌泉 黄星 饶永生 LIU Yongquan;HUANG Xing;RAO Yongsheng(Normal School,Ji’an College,Jiangxi,Ji’an,343000,China;School of Computer Science and Educational Software,Guangzhou University,Guangzhou 510006,China;School of Mathematics and Computer Science,Guizhou Education University,Guiyang 550018,China)
出处 《海南师范大学学报(自然科学版)》 CAS 2018年第2期178-187,共10页 Journal of Hainan Normal University(Natural Science)
基金 国家自然科学基金(11701118) 国家自然科学联合基金(U1201252) 国家高技术研究发展计划(2015AA015408) 2016年度贵州省科技平台及人才团队专项资金项目(黔科合平台人才【2016】5609) 吉安职业技术学院教研项目(16JY135)
关键词 公共不动点 BANACH空间 混合型迭代 渐近拟非扩张自映射 渐近拟非扩张非自映射 Common fixed point Banach space Mixed iterative scheme Asymptotically quasi-nonexpansive self-mappings Asymptotically quasi-nonexpansive nonself-mappings
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