Nonunique Fixed-Point Results in a General Setting with an Application

Ahmad H., Younis M., Köksal M. E., Lateef D.

JOURNAL OF MATHEMATICS, cilt.2024, 2024 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2024
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1155/2024/9190867
  • Dergi Adı: JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

This manuscript's main goal is to examine the presence of fixed points in the context of controlled metric-type spaces utilizing rational type & Cacute;iri & cacute;-contractive conditions. We provide appropriate examples to support the validity and superiority of our conclusions. In the context of extended b-metric space, b-metric spaces, and standard metric spaces, our findings extrapolate and expand a number of well-known research findings. As an application of our findings, we prove that a second-order differential equation has a solution. The paper ends with a few open problems for further investigation of additional dimensions within this framework.