Scopus
🔓 Açık Erişim
An application for dynamic programming via fixed point theorem using rational type
Carpathian Mathematical Publications · Haziran 2026
Makale Bilgileri
DergiCarpathian Mathematical Publications
Yayın TarihiHaziran 2026
Cilt / Sayfa18 · 19-28
Scopus ID2-s2.0-105030663189
Erişim🔓 Açık Erişim
Özet
In this study, we introduce and investigate the concept of generalized multivalued rational type F-contractions on spherically complete ultrametric spaces. Building upon the existing framework of fixed point theory, we establish novel fixed point theorems for such mappings and provide sev-eral corollaries that extend and unify known results in the literature. To highlight the applicability of our findings, we present an illustrative example that demonstrates the validity of the proposed approach. Furthermore, we explore an application to dynamic programming by formulating functional equations whose solutions can be obtained through the developed fixed point techniques. The results not only broaden the scope of contraction principles in non-Archimedean settings but also emphasize the utility of ultrametric structures in optimization and computational mathematics.
Yazarlar (2)
1
Aybala Sevde Özkapu
2
Özlem Acar
Anahtar Kelimeler
dynamic programming
F-contraction
fixed point
ultrametric space
Kurumlar
CMARL
Konya Turkey
Selçuk Üniversitesi
Selçuklu Turkey