Fixed point results for P-contractive mappings on M-metric space and application

Taş M. G., TÜRKOĞLU A. D., Altun I.

AIMS Mathematics, cilt.9, sa.4, ss.9770-9784, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 4
  • Basım Tarihi: 2024
  • Doi Numarası: 10.3934/math.2024478
  • Dergi Adı: AIMS Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
  • Sayfa Sayıları: ss.9770-9784
  • Anahtar Kelimeler: fixed point, Langevin equation, M-metric space, P-contractive mapping
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we elucidate a pivotal fixed point theorem for P-contraction mappings defined on M-metric spaces, offering a novel perspective on the interplay between mappings and the underlying space structure. This theorem’s significance becomes evident when compared with earlier results, underscoring its potential to enhance our understanding of fixed point theory in M-metric spaces and its broader applications.