On the multivalued ρ∗-interpolative contractions in fuzzy metric spaces with application to nonlinear matrix equations

SANGURLU SEZEN M., Mohammed M. J., Etemad S., Tariboon J.

AIMS Mathematics, cilt.11, sa.2, ss.4263-4282, 2026 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 2
  • Basım Tarihi: 2026
  • Doi Numarası: 10.3934/math.2026171
  • Dergi Adı: AIMS Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
  • Sayfa Sayıları: ss.4263-4282
  • Anahtar Kelimeler: fuzzy metric space, interpolative contraction, partially ordered fuzzy metric space, ρ∗-admissible multivalued mapping
  • Gazi Üniversitesi Adresli: Evet

Özet

In this study, the subject of the multivalued ρ∗-interpolative Ćirić-Reich-Rus-type fuzzy contractions is introduced and investigated in which the ϑ-comparison functions and the property of the ρ∗-admissibility play an important role. In the first step, the existence of fixed point theorems is proven for such a type of contractions in the context of the complete fuzzy metric spaces. Then, some of the results are extended in the framework of the fuzzy metric spaces equipped with a partial order. In this direction, we give some examples to clarify the obtained results and definitions. Additionally, we demonstrate an application about the solutions of non-linear matrix equations on the basis of fixed points of these new contractions.