星形集上相对u-连续映射的最佳逼近点问题

Best Proximity Points for Relatively u-Continuous Mapping on Starshaped Set

本文综合运用Banach空间的几何性质讨论了星形集上相对非扩张映射和相对u-连续映射最佳逼近点的存在性和收敛性问题.进一步,我们分别给出了相对非扩张映射和相对u-连续映射在星形集上存在最佳逼近点的一个充分条件.

In this paper,we use the properties of geometry of Banach space to discuss some solutions to existence and convergence of best proximity points of relatively nonexpansive mapping and relatively u-continuous mapping. Furthermore,we give a sufficient condition for the existence of best proximity points of relatively nonexpansive mapping and relatively u-continuous mapping on starshaped set respectively.