希尔伯特空间中具有吸引点的映射的拟非扩张
A quasinonexpansive extension of a mapping with an attractive point in a Hilbert space
摘要：
本文证明了在适当的条件下，存在具有Takahashi和Takeuchi（2011）意义下的吸引点的映射的拟非扩张扩张，使得扩张的不动点集等于给定映射的吸引点集.然后利用拟非扩张，建立了Kocourek，Takahashi，and Yao（2010）意义下的广义混合映射吸引点逼近的收敛定理.
英文摘要：
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).
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
