A generalized metric space and related fixed point theorems

Fixexd point theory and applications

Bessem Samet¹  Mohamed Jleli¹ 

[1] Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia

关键词: generalized metric;    b-metric;    dislocated metric;    modular space;    fixed point;    partial order;    54H25;    47H10;   

DOI  :  10.1186/s13663-015-0312-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We introduce a new concept of generalized metric spaces for which we extend some well-known fixed point results including Banach contraction principle, Ćirić’s fixed point theorem, a fixed point result due to Ran and Reurings, and a fixed point result due to Nieto and Rodríguez-López. This new concept of generalized metric spaces recover various topological spaces including standard metric spaces, b-metric spaces, dislocated metric spaces, and modular spaces.

【 授权许可】

CC BY