Common fixed point theorem for a hybrid pair of mappings in Hausdorff fuzzy metric spaces

Fixexd point theory and applications

M Abbas¹  Basit Ali¹  A Amini-Harandi² 

[1] Department of Mathematics, Lahore University of Management Sciences, Lahore, Pakistan;Department of Mathematics, University of Management and Technology, Lahore, Pakistan

关键词: coupled fixed point;    coupled coincidence point;    coupled common fixed point;    t-norm;   

DOI  :  10.1186/1687-1812-2012-225

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we prove a coupled fixed point theorem for a multivalued fuzzy contraction mapping in complete Hausdorff fuzzy metric spaces. As an application of the first theorem, a coupled coincidence and coupled common fixed point theorem has been proved for a hybrid pair of multivalued and single-valued mappings. It is worth mentioning that to find coupled coincidence points, we do not employ the condition of continuity of any mapping involved therein. Also, coupled coincidence points are obtained without exploiting any type of commutativity condition. Our results extend, improve, and unify some well-known results in the literature. MSC:47H10, 47H04, 47H07.

【 授权许可】

CC BY