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OALib Journal期刊
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ITERATION METHODS OF THE COMMON FIXED POINTS FOR A FAMILY OF QUASI (ψ)-ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
拟φ-渐近非扩展映像族的公共不动点的迭代算法

Keywords: Quasi $\varphi$-asymptotically nonexpansive mapping,hybrid algorithm,generalized projection operator,K-K property,strong convergence theorem
拟$\varphi$-渐近非扩展映像
,混杂算法,广义投影算子,K-K性质,强收敛定理.

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Abstract:

The purpose of this article is to propose a new hybrid projection algorithm and prove a strong convergence theorem for a family of quasi $\varphi$-asymptotically nonexpansive mappings by using new analysis techniques. The results hold in reflexive, strictly convex, smooth Banach spaces. The results of this paper improve and extend some existing relative results.

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