ON WEAK INTERPOLATIVE CONTRACTIONS WITH APPLICATION TO HOMOTOPY THEORY

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Yildirim İ., Sahin Y. S.

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

  • 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
  • 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.