Related Suzuki-type fixed point theorems in ordered metric space

Fixexd point theory and applications

article

Rida, Outass¹  Karim, Chaira²  El Miloudi, Marhrani¹ 

[1] Laboratory of Algebra, Faculty of Sciences Ben M’Sik, Hassan II University of Casablanca;CRMEF

关键词: Generalized Kannan mappings;    Fixed point theorem;    Suzuki-type contraction;    Partially ordered metric spaces;   

DOI  :  10.1186/s13663-020-00674-0

来源: SpringerOpen

【 摘 要 】

In this paper, we use Suzuki-type contraction to prove three fixed point theorems for generalized contractions in an ordered space equipped with two metrics; we obtain some generalizations of the Kannan fixed point theorem. Our results on partially ordered metric spaces generalize and extend some results of Ran and Reurings as well as of Nieto and Rodríguez-López. To illustrate the effectiveness of our main result, we give an application to matrix equations which involves monotone mappings.

【 授权许可】

Unknown