数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (5): 1661-1669.doi: 10.1016/S0252-9602(14)60112-0

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BEST PROXIMITY POINT THEOREMS FOR SINGLE- AND SET-VALUED NON-SELF MAPPINGS

Moosa GABELEH   

  1. Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran
  • 收稿日期:2012-07-26 修回日期:2014-05-10 出版日期:2014-09-20 发布日期:2014-09-20

BEST PROXIMITY POINT THEOREMS FOR SINGLE- AND SET-VALUED NON-SELF MAPPINGS

Moosa GABELEH   

  1. Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran
  • Received:2012-07-26 Revised:2014-05-10 Online:2014-09-20 Published:2014-09-20

摘要:

We study the existence of best proximity points for single-valued non-self map-pings. Also, we prove a best proximity point theorem for set-valued non-self mappings in metric spaces with an appropriate geometric property. Examples are given to support the usability of our results.

关键词: best proximity point, fixed point, P-property

Abstract:

We study the existence of best proximity points for single-valued non-self map-pings. Also, we prove a best proximity point theorem for set-valued non-self mappings in metric spaces with an appropriate geometric property. Examples are given to support the usability of our results.

Key words: best proximity point, fixed point, P-property

中图分类号: 

  • 47H10