Some new generalizations of Mizoguchi-Takahashi type fixed point theorem

Abstract

In the light of the paper of Hasanzade Asl et al. (Fixed Point Theory Appl. 2012: 212, 2012, doi:10.1186/1687-1812-2012-212), we obtain a fixed point theorem for multivalued mappings on a complete metric space. Our result is a generalized version of some results in the literature, including the famous result of Mizoguchi-Takahashi (J. Math. Anal. Appl. 141:177-188, 1989). Also, we give some examples to illustrate our result.