Some extensions of the Meir-Keeler theorem

Fixexd point theory and applications

Lech Pasicki¹ 

[1] Faculty of Applied Mathematics, AGH University of Science and Technology, Kraków, Poland

关键词: contractive mapping;    cyclic mapping;    dislocated metric;    partial metric;    fixed point;    47H10;    54H25;   

DOI  :  10.1186/s13663-016-0593-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Meir and Keeler formulated their fixed point theorem for contractive mappings with purely metric condition. This idea was extended by numerous mathematicians. In this paper, we present a simple method of proving such theorems and give new results.

【 授权许可】

CC BY