Perov-Type Contractions (Approximation and Computation in Science and Engineering)
Yazarlar (4)
Marija Cvetković University Of Niš, Sırbistan
Prof. Dr. Erdal Karapınar Çankaya Üniversitesi, Türkiye
Vladimir Rakočević University Of Niš, Sırbistan
Doç. Dr. Seher Sultan YEŞİLKAYA Tokat Gaziosmanpaşa Üniversitesi, Türkiye
| Bölüm Adı | Perov-Type Contractions | ||
| Kitap Adı | Approximation and Computation in Science and Engineering | ||
| Bölüm Sayfaları | 167-215 | ||
| Kitap Türü | Kitap Bölümü | ||
| Kitap Alt Türü | Alanında uluslararası yayınlanan kitap bölümü | ||
| Kitap Niteliği | Scopus indeksinde taranan bilimsel kitap | ||
| Kitap Dili | İngilizce | Basım Tarihi | 01-2022 |
| DOI Numarası | 10.1007/978-3-030-84122-5_11 | ISBN | 978-3-030-84122-5 |
| Basıldığı Ülke | İsviçre | Basıldığı Şehir | Cham |
| Kitap Linki | https://link.springer.com/chapter/10.1007/978-3-030-84122-5_11 | ||
| UAK Araştırma Alanları |
Matematiksel Analiz
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| Özet |
| Fixed point theory is rapidly growing in various directions, so the goal of this chapter is to collect and underline recent results on Perov-type contractions and talk about various generalizations of this result. Perov contraction is defined on generalized metric space firstly introduced by Russian mathematician AI Perov in the 1960s. The main difference and strength of this result is in changed view on contractive constant since, in Perov results, that role is played by a matrix with positive entries. The question is what do we gain in this case? And also can we talk about scientific novelty of this concrete results and all other generalizations published in the last 10 years? We will try to answer at least partially on these questions and gather most important results regarding Perov contractions. |
| Anahtar Kelimeler |
| Coupled fixed point | Fixed point | Generalized metric space | Nonlinear operatorial contraction | Perov theorem | Perov-type contraction | Ulam-Hyers stability |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Scopus | 5 |
| Google Scholar | 6 |