A sufficient and necessary condition for the convergence of the sequence of successive approximations to a unique fixed point II

Fixexd point theory and applications

Tomonari Suzuki¹  Badriah Alamri² 

[1] Department of Basic Sciences, Faculty of Engineering, Kyushu Institute of Technology, Kitakyushu, Japan;Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

关键词: Banach contraction principle;    Boyd-Wong contraction;    contraction;    fixed point;    successive approximation;    54H25;   

DOI  :  10.1186/s13663-015-0302-9

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Using the concept of a Boyd-Wong contraction, we obtain a simple, sufficient, and necessary condition for the convergence of the sequence of successive approximations to a unique fixed point.

【 授权许可】

CC BY