Generalized Almost Simulative (<i>Z</i>)over-cap<sub>Ψ*</sub><SUP>Θ</SUP>-Contraction Mappings in Modular <i>b</i>-Metric Spaces

Ozturk M., Golkarmanesh F., Buyukkaya A.

JOURNAL OF MATHEMATICAL EXTENSION, sa.2, ss.36-72, 2023 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2023
  • Doi Numarası: 10.30495/jme.2023.2424
  • Dergi Adı: JOURNAL OF MATHEMATICAL EXTENSION
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.36-72
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

This article aims to characterize a new class of simulation functions by extending the class of Z functions demonstrated by Cho in [16] and, via this novel notion, to establish some common fixed point theorems in modular b-metric spaces. Furthermore, some corollaries have been procured that expand the existing literature. An example and an application to the nonlinear integral equations have been furnished to state the applicability and effectiveness of the outcomes.