Some New Coupled Fixed Point Results and Applications to a System of Integral Equations
Boletim da Sociedade Paranaense de Matematica, cilt.44, sa.7, 2026 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 44 Sayı: 7
- Basım Tarihi: 2026
- Doi Numarası: 10.5269/bspm.81570
- Dergi Adı: Boletim da Sociedade Paranaense de Matematica
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
- Anahtar Kelimeler: asymptotic stability, Coupled fixed point theorem, existence of solutions, integral equations, measure of noncompactness
- İnönü Üniversitesi Adresli: Evet
Özet
This paper concerns with the solvability and asymptotic stability of solutions for a class of systems of integral equations in BC(R+) which is the space of real valued, continuous and bounded functions defined on the set of nonnegative real numbers. We firstly present a theorem about existence of coupled fixed point of an operator and then we give a corollary depending on this theorem. By using this corollary we show that a class of systems of integral equations has at least one solution which is asymptotically stable. Also we give an example showing applicability of our main result. Finally we mention an open problem worth focusing on at the future.