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

Authors

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

Abstract

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