arXiv
Open Access
2023
Fixed point theorem for mappings contracting perimeters of triangles
Evgeniy Petrov
Abstrak
We consider a new type of mappings in metric spaces which can be characterized as mappings contracting perimeters of triangles. It is shown that such mappings are continuous. The fixed-point theorem for such mappings is proved and the classical Banach fixed-point theorem is obtained like a simple corollary. An example of a mapping contractive perimeters of triangles which is not a contraction mapping is constructed.
Topik & Kata Kunci
Penulis (1)
E
Evgeniy Petrov
Akses Cepat
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- 2023
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