Fixed Point Results for Two Mappings on Closed Balls in Continuous Controlled Metric Spaces with Applications to Urysohn Integral Equations
International Journal of Analysis and Applications, cilt.24, 2026 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 24
- Basım Tarihi: 2026
- Doi Numarası: 10.28924/2291-8639-24-2026-279
- Dergi Adı: International Journal of Analysis and Applications
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Anahtar Kelimeler: closed ball, continuous controlled metric space, fixed point, Geraghty contraction, Geraghty-Ćirić contraction, Urysohn integral equation
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- İstanbul Gelişim Üniversitesi Adresli: Evet
Özet
This manuscript investigates complete continuous controlled metric spaces (CCMSs). New fixed point theorems are established under Geraghty and Geraghty-Ćirić type contractive conditions, formulated on a closed ball of a CCMS rather than on the entire space. This localized approach extends the existing fixed point theory in controlled metric spaces, where such results on closed balls have not been previously reported. Concrete examples are provided to illustrate the effectiveness of the obtained theorems. Furthermore, the applicability of the theoretical results is demonstrated by proving the existence and uniqueness of solutions for a system of Urysohn-type integral equations.