Scopus
🔓 Açık Erişim
Uniqueness of fixed points for contractions on perturbed metric spaces associated with directed graphs
Constructive Mathematical Analysis · Aralık 2025
Makale Bilgileri
DergiConstructive Mathematical Analysis
Yayın TarihiAralık 2025
Cilt / Sayfa8 · 49-56
Scopus ID2-s2.0-105031736283
Erişim🔓 Açık Erişim
Özet
In this paper, we investigate fixed point results for self-mappings defined on perturbed metric spaces endowed with a graph structure. By combining the notions of a perturbed metric and graph-preserving mappings, we establish a Banach-type fixed point theorem that ensures the existence and uniqueness of fixed points under certain contractive conditions. The presented result generalizes several known fixed point theorems in both standard and generalized metric settings. Illustrative examples are provided to demonstrate the validity and applicability of the main theorem.
Yazarlar (1)
1
Özlem Acar
Anahtar Kelimeler
Fixed point
graph theory
perturbed metric space
Kurumlar
University Department of Mathematics
Konya Turkey