一族拟-$\phi$-渐近非扩张映像的强收敛定理

Strong Convergence Theorems for a Family of Quasi-$\phi$-Asymptotically Nonexpansive Mappings

中文关键词:  拟-$\phi$-渐近非扩张映像  杂交算法  广义投影  强收敛定理.

英文关键词:quasi-$\phi$-asymptotically nonexpansive mapping  hybrid algorithm  generalized projection  strong convergence theorem.

中文摘要:

      在自反、严格凸、光滑Banach空间中, 设计了一种修正的杂交投影算法用以逼近无限不可数族拟-$\phi$-渐近非扩张映像的公共不动点,并利用所提出的新算法证明了关于拟-$\phi$-渐近非扩张映像族的强收敛定理,所得结果改进与推广了文献[7,8,12]以及其它文献的相关结果.

英文摘要:

      The purpose of this article is to propose a modified hybrid projection algorithm and prove a strong convergence theorem for a family of quasi-$\phi$-asymptotically nonexpansive mappings. Its results hold in reflexive, strictly convex, smooth Banach spaces with the property(K). The results of this paper improve and extend recent some relative results.