Fixed points of Suzuki type generalized multivalued mappings in fuzzy metric spaces with applications

Fixexd point theory and applications

Mujahid Abbas¹  Naeem Saleem²  Zahid Raza²  Basit Ali³ 

[1] Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria, South Africa;Department of Mathematics, National University of Computer and Emerging Sciences, Lahore, Pakistan;Department of Mathematics, School of Science and Technology, University of Management and Technology, Lahore, Pakistan

关键词: Suzuki type mapping;    fuzzy metric space;    fixed point;    multivalued mapping;    t-norm;    47H10;    47H04;    47H07;   

DOI  :  10.1186/s13663-015-0284-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The aim of this paper is to introduce a class of multivalued mappings satisfying a Suzuki type generalized contractive condition in the framework of fuzzy metric spaces and to present fixed point results for such mappings. Some examples are presented to support the results proved herein. As an application, a common fixed point result for a hybrid pair of single and multivalued mappings is obtained. We show the existence and uniqueness of a common bounded solution of functional equations arising in dynamic programming. Our results generalize and extend various results in the existing literature.

【 授权许可】

CC BY