A fixed point result for a new class of set-valued contractions

Document Type : Research Paper


Department of Mathematics, University of Shahrekord, Shahrekord, 88186-34141, Iran.


In this paper, we introduce a new class of set-valued contractions and obtain a fixed point theorem for such mappings in complete metric spaces. Our main result generalizes and improves many well-known fixed point theorems in the literature.


  • Receive Date: 20 June 2013
  • Revise Date: 07 February 2014
  • Accept Date: 12 February 2014
  • First Publish Date: 12 February 2014