...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Demonstratio Mathematica >Equivalence of the existence of best proximity points and best proximity pairs for cyclic and noncyclic nonexpansive mappings
【24h】

Equivalence of the existence of best proximity points and best proximity pairs for cyclic and noncyclic nonexpansive mappings

机译：Equivalence of the existence of best proximity points and best proximity pairs for cyclic and noncyclic nonexpansive mappings

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相关主题

摘要

In this study, at first we prove that the existence of best proximity points for cyclic nonexpansive mappings is equivalent to the existence of best proximity pairs for noncyclic nonexpansive mappings in the setting of strictly convex Banach spaces by using the projection operator. In this way, we conclude that the main result of the paper Proximal normal structure and nonexpansive mappings , Studia Math. 171 (2005), 283–293 immediately follows. We then discuss the convergence of best proximity pairs for noncyclic contractions by applying the convergence of iterative sequences for cyclic contractions and show that the convergence method of a recent paper Convergence of Picard's iteration using projection algorithm for noncyclic contractions , Indag. Math. 30 (2019), no. 1, 227–239 is obtained exactly from Picard’s iteration sequence.

著录项

获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号