Related Fixed Points of Multivalued Mappings of Two Related Orbitally Complete Metric Spaces

KARAYILAN H.

AXIOMS, cilt.14, sa.8, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 8
  • Basım Tarihi: 2025
  • Doi Numarası: 10.3390/axioms14080561
  • Dergi Adı: AXIOMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), zbMATH, Directory of Open Access Journals
  • Trakya Üniversitesi Adresli: Evet

Özet

In the present paper, the concept of the related orbital completeness of two metric spaces for multivalued mappings is introduced. A new related fixed point theorem for multivalued mappings is proven, and some important results are obtained as corollaries of the main theorem. A single-valued version of the main theorem is also derived as a simple corollary, and two illustrative examples are provided.