ON WEAK INTERPOLATIVE CONTRACTIONS WITH APPLICATION TO HOMOTOPY THEORY

Yildirim, İsa; Sahin, Y.

doi:10.46939/j.sci.arts-23.2-a09

ON WEAK INTERPOLATIVE CONTRACTIONS WITH APPLICATION TO HOMOTOPY THEORY

Yildirim İ., Sahin Y. S.

JOURNAL OF SCIENCE AND ARTS, sa.2, ss.421-430, 2023 (ESCI)

Yayın Türü: Makale / Tam Makale
Basım Tarihi: 2023
Doi Numarası: 10.46939/j.sci.arts-23.2-a09
Dergi Adı: JOURNAL OF SCIENCE AND ARTS
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
Sayfa Sayıları: ss.421-430
Anahtar Kelimeler: Fixed point, weak interpolative contraction mapping, b-metric spaces
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we firstly introduce definition of weak interpolative Hardy -Rogers type contractions and we give an example for a class of this mappings. We also prove a fixed point theorem under some appropriate conditions on complete b -metric spaces. Finally, we discuss an application to homotopy theory of our main result.