On best proximity points for multivalued cyclic $F$-contraction mappings

Document Type : Research Paper

Authors

1 King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand

2 Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand.

Abstract

In this paper, we establish and prove the existence of best proximity points for multivalued cyclic $F$- contraction mappings in complete metric spaces. Our results improve and extend various results in literature.

Keywords

  • Receive Date: 05 June 2016
  • Revise Date: 13 October 2016
  • Accept Date: 21 November 2016
  • First Publish Date: 30 December 2016