论文标题
较弱的近端正常结构和最佳近端对的表征
A Characterization of Weak Proximal Normal Structure and Best Proximity Pairs
论文作者
论文摘要
本文的目的是解决[Kirk，W。A.，Shahzad，Naseer，正常结构和轨道固定点条件，J。Math。肛门。应用。 {\ bf {vol 463（2）}}，（2018）461--476]。我们使用最佳近端对特性给出了弱近端正常结构的表征。我们还介绍了一个旋转循环收缩WRT轨道的概念，并在其中证明了在反射性Banach空间的环境中存在最佳接近对。
The aim of this paper is to address an open problem given in [Kirk, W. A., Shahzad, Naseer, Normal structure and orbital fixed point conditions, J. Math. Anal. Appl. {\bf{vol 463(2)}}, (2018) 461--476]. We give a characterization of weak proximal normal structure using best proximity pair property. We also introduce a notion of pointwise cyclic contraction wrt orbits and therein prove the existence of a best proximity pair in the setting of reflexive Banach spaces.
