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

被引：0
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作者：
Tomonari Suzuki
Badriah Alamri
机构：
[1] Kyushu Institute of Technology,Department of Basic Sciences, Faculty of Engineering
[2] King Abdulaziz University,Department of Mathematics, Faculty of Science
来源：
Fixed Point Theory and Applications | / 2015卷
关键词：
Banach contraction principle; Boyd-Wong contraction; contraction; fixed point; successive approximation; 54H25;
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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.
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