Existence of a solution of integral equations via fixed point theorem
Özet
In this paper, we establish a solution to the following integral equation: u(t) = integral(T)(0) G(t, s)f(s, u(s)) ds for all t is an element of [0,T], (1) where T > 0, f : [0, T] x R -> R and G : [0, T] x [0, T] -> [0, infinity) are continuous functions. For this purpose, we also obtain some auxiliary fixed point results which generalize, improve and unify some fixed point theorems in the literature.
Kaynak
JOURNAL OF INEQUALITIES AND APPLICATIONSKoleksiyonlar
- Makale Koleksiyonu [5200]
- Makale Koleksiyonu [5745]
- Öksüz Yayınlar Koleksiyonu - WoS [6162]