Some new generalizations of Mizoguchi-Takahashi type fixed point theorem

Journal of inequalities and applications

Gü¹ 

关键词: fixed point;    multivalued mappings;    Mizoguchi-Takahashi’s fixed point theorem;    Nadler’s fixed point theorem;   

DOI  :  10.1186/1029-242X-2013-493

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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. MSC:54H25, 47H10.

【 授权许可】

CC BY