Existence of a solution of integral equations via fixed point theorem

GÜLYAZ, SELMA; KARAPINAR, ERDAL; Rakocevic, Vladimir; Salimi, Peyman

doi:10.1186/1029-242x-2013-529

Existence of a solution of integral equations via fixed point theorem

GÜLYAZ S., KARAPINAR E., Rakocevic V., Salimi P.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası:
Basım Tarihi: 2013
Doi Numarası: 10.1186/1029-242x-2013-529
Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Anahtar Kelimeler: cyclic representation, fixed point, CONTRACTIVE MAPPINGS, PROXIMITY POINTS
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Sivas Cumhuriyet Üniversitesi Adresli: Evet

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)