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DOAJ Open Access 2023

Best Proximity Points for <i>p</i>–Cyclic Infimum Summing Contractions

Miroslav Hristov Atanas Ilchev Petar Kopanov Vasil Zhelinski Boyan Zlatanov
Lihat Sumber DOI

Abstrak

We investigate fixed points for <i>p</i> cyclic maps by introducing a new notion of <i>p</i>–cyclic infimum summing maps and a generalized best proximity point for <i>p</i>–cyclic maps. The idea generalizes some results about best proximity points in order to widen the class of sets and maps for which we can ensure the existence and uniqueness of best proximity points. The replacement of the classical notions of best proximity points and distance between the consecutive set arises from the well-known group traveling salesman problem and presents a different approach to solving it. We illustrate the new result with a map that does not satisfy the known results about best proximity maps for <i>p</i>–cyclic maps.

Topik & Kata Kunci

Mathematics

Penulis (5)

M

Miroslav Hristov

A

Atanas Ilchev

P

Petar Kopanov

V

Vasil Zhelinski

B

Boyan Zlatanov

Format Sitasi

APA MLA BibTeX
Hristov, M., Ilchev, A., Kopanov, P., Zhelinski, V., Zlatanov, B. (2023). Best Proximity Points for <i>p</i>–Cyclic Infimum Summing Contractions. https://doi.org/10.3390/axioms12070628

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Informasi Jurnal
Tahun Terbit
2023
Sumber Database
DOAJ
DOI
10.3390/axioms12070628
Akses
Open Access ✓