Discussion of several contractions by Jachymski’s approach

Fixexd point theory and applications

Tomonari Suzuki¹ 

[1] Department of Basic Sciences, Faculty of Engineering, Kyushu Institute of Technology, Kitakyushu, Japan

关键词: the Banach contraction principle;    Boyd-Wong contraction;    Meir-Keeler contraction;    Matkowski contraction;    contraction of integral type;    fixed point;    47H09;    54H25;   

DOI  :  10.1186/s13663-016-0581-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We discuss several contractions of integral type by using Jachymski’s approach. We give alternative proofs of recent generalizations of the Banach contraction principle due to Ri (Indag. Math. 27:85-93, 2016) and Wardowski (Fixed Point Theory Appl. 2012:94, 2012).

【 授权许可】

CC BY