Some fixed point theorems for generalized contractive mappings in complete metric spaces

Fixexd point theory and applications

Calogero Vetro²  Bessem Samet³  Vahid Parvaneh⁴  Nawab Hussain⁵ 

[1] degli Studi di Palermo, Palermo, Italy;Department of Mathematics and Computer Sciences, UniversitàDepartment of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia;Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran;Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

关键词: complete metric space;    fixed point;    weak C-contraction;    47H10;    54H25;   

DOI  :  10.1186/s13663-015-0433-z

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We introduce new concepts of generalized contractive and generalized α-Suzuki type contractive mappings. Then, we obtain sufficient conditions for the existence of a fixed point of these classes of mappings on complete metric spaces and b-complete b-metric spaces. Our results extend the theorems of Ćirić, Chatterjea, Kannan and Reich.

【 授权许可】

CC BY