Jacek R. Jachymski , Bernd Schroder , James D. Stein Jr.
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引用次数: 24
Abstract
The classic Banach Contraction Principle states that any contraction on a complete metric space has a unique fixed point. Rather than requiring that a single operator be a contraction, we consider a minimum involving a set of powers of that operator and derive fixed-point results. Ordinary analytical techniques would be extremely unwieldy, and so we develop a method for attacking this problem by considering a related problem on tiling the integers.
期刊介绍：
The Journal of Combinatorial Theory publishes original mathematical research concerned with theoretical and physical aspects of the study of finite and discrete structures in all branches of science. Series A is concerned primarily with structures, designs, and applications of combinatorics and is a valuable tool for mathematicians and computer scientists.
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