论文标题
在希尔伯特空间中有吸引力的映射的映射扩展
A quasinonexpansive extension of a mapping with an attractive point in a Hilbert space
论文作者
论文摘要
在本文中，我们表明，在适当的条件下，存在着映射的准跨式延伸，其映射具有吸引人的高处和Takahashi和Takeuchi（2011），因此扩展的固定点集等于给定映射的有吸引力的点集。然后，使用Quasinonexpansive扩展，我们建立了一些收敛定理，以近似Kocourek，Takahashi和Yao（2010）的意义上的广义混合映射的有吸引力的点。
In this paper, we show that, under appropriate conditions, there exists a quasinonexpansive extension of a mapping with an attractive point in the sense of Takahashi and Takeuchi (2011) such that the fixed point set of the extension equals the attractive point set of the given mapping. Then using the quasinonexpansive extension, we establish some convergence theorems for approximating attractive points of a generalized hybrid mapping in the sense of Kocourek, Takahashi, and Yao (2010).
