q-一致光滑Banach空间中非扩张映射和伪压缩映射混合迭代算法的强收敛定理  

The Strong Convergence Theorem of Hybrid Iterative Algorithm for Nonexpansive Mapping and Pseudocontractive Mapping in q-Uniformly Smooth Banach Space

作　　者：潘灵荣 潘婵娟 PAN Lingrong;PAN Chanjuan(Wenling Institut,Zhejiang Open University,Wenling 317500,China;Zhejiang University of Water Resources and Electric Power,Hangzhou 310018,China)

机构地区：[1]浙江开放大学温岭学院,浙江温岭317500 [2]浙江水利水电学院,浙江杭州310018

出　　处：《应用数学》2024年第3期825-839,共15页Mathematica Applicata

基　　金：浙江开放大学科学研究课题(XKT2023Z02);国家自然科学基金(11671365)。

摘　　要：在q-一致光滑一致凸Banach空间中,研究非扩张映射和伪压缩映射的混合迭代算法,在适当参数控制条件下,证明了由这种新的算法产生的序列强收敛于以上两个映射的公共不动点,且该不动点是一类变分不等式系统的解,所得结果推广和改进了一些最近文献的相应结论.In this paper,the authors consider a hybrid iterative algorithm based on nonexpansive mapping and pseudocontractive mapping in q-uniformly smooth and uniformly convex Banach spaces.Under some suitable conditions imposed on the sequence of parameters,it is proved that the sequence generated by this new algorithm convergences strongly to the common fixed point of the above two mappings,which solves a class of system of variational inequalities.The results obtained in this article extend and improve the corresponding results of the relevant literature.

关 键 词：变分不等式系统 不动点 强收敛 BANACH空间 

分 类 号：O177.91[理学—数学]