Fixed Point Results in Modular b-Metric-like Spaces with an Application

BOSTAN N. U., Varol B. P.

AXIOMS, sa.10, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2024
  • Doi Numarası: 10.3390/axioms13100726
  • Dergi Adı: AXIOMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this study, we introduce a new space called the modular b-metric-like space. We investigate some properties of this new concept and define notions of xi-convergence, xi-Cauchy sequence, xi-completeness and xi-contraction. The existence and uniqueness of fixed points in the modular b-metric-like space are handled. Moreover, we give some examples and an application to an integral equation to illustrate the usability of the obtained results.