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

CUI Yun-an; HAN Yi

doi:10.15938/j.jhust.2015.06.020

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

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- Best Proximity Points for Relatively u-Continuous Mapping on Starshaped Set
- Vol. 20, Issue 6, Pages: 107-111(2015)
- 作者机构：
  
  哈尔滨理工大学应用科学学院,黑龙江,哈尔滨,150080
- 作者简介：
- 基金信息：
- DOI：10.15938/j.jhust.2015.06.020
  CLC： O177.7
- Published：2015
- 稿件说明：
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CUI Yun-an, HAN Yi. Best Proximity Points for Relatively u-Continuous Mapping on Starshaped Set[J]. 2015, 20(6): 107-111.
DOI：

CUI Yun-an, HAN Yi. Best Proximity Points for Relatively u-Continuous Mapping on Starshaped Set[J]. 2015, 20(6): 107-111. DOI： 10.15938/j.jhust.2015.06.020.

摘要

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.

Abstract

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.

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