Some results in cone metric spaces with applications in homotopy theory

Some results in cone metric spaces with applications in homotopy theory

The self-mappings satisfying implicit relations were introduced in a previous study [Popa, , Stud. Cerc. St. Ser. Mat. Univ. Bacău (1997), 129–133]. In this study, we introduce self-operators satisfying an ordered implicit relation and hence obtain their fixed points in the cone metric space under s...

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Veröffentlicht in:Open mathematics (Warsaw, Poland) Poland), 2020-05, Vol.18 (1), p.295-306
Hauptverfasser: Nazam, Muhammad, Arif, Anam, Mahmood, Hasan, Park, Choonkil
Format: Artikel
Sprache:eng
Schlagworte:
47H09
47H10
54H25
cone metric space
contraction
fixed point
Fixed points (mathematics)
Homotopy theory
implicit relation
Metric space
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Zusammenfassung:The self-mappings satisfying implicit relations were introduced in a previous study [Popa, , Stud. Cerc. St. Ser. Mat. Univ. Bacău (1997), 129–133]. In this study, we introduce self-operators satisfying an ordered implicit relation and hence obtain their fixed points in the cone metric space under some additional conditions. We obtain a homotopy result as an application.
ISSN:2391-5455
2391-5455
DOI:10.1515/math-2020-0025