Coupled fixed point theorems for single-valued operators in b -metric spaces

Fixexd point theory and applications

Bessem Samet¹  Adrian Petruş¹  Gabriela Petruş¹  el³  Monica-Felicia Bota⁴ 

[1] -Bolyai University Cluj-Napoca, Cluj-Napoca, Romania;Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia;Faculty of Business, BabeşFaculty of Mathematics and Computer Science, Babeş

关键词: single-valued operator;    vector-valued metric;    fixed point;    ordered metric space;    coupled fixed point;    integral equation;    Ulam-Hyers stability;    47H10;    54H25;   

DOI  :  10.1186/s13663-015-0482-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The aim of this paper to present fixed point results for single-valued operators in b-metric spaces. The case of scalar metric and the case of vector-valued metric approaches are considered. As an application, a system of integral equations is studied.

【 授权许可】

CC BY