AN APPLICATION OF DARBO FIXED- POINT THEOREM TO A CLASS OF FUNCTIONAL INTEGRAL EQUATIONS
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, cilt.36, sa.1, ss.29-40, 2015 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 36 Sayı: 1
- Basım Tarihi: 2015
- Doi Numarası: 10.1080/01630563.2014.951771
- Dergi Adı: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.29-40
- Anahtar Kelimeler: Darbo fixed-point theorem, Measure of noncompactness, Nonlinear integral equations, 45M99, 47H09
- İnönü Üniversitesi Adresli: Evet
Özet
In this article, using Darbo's fixed-point theorem associated with the measure of noncompactness, we prove a theorem on the existence of the solutions of some nonlinear functional integral equations in the space of continuous functions on interval [0, a]. Our existence results include several existence results obtained earlier by Maleknejad et al. [7] and ozdemir et al. [8] as special cases under some weaker conditions. We give also some examples which show that our results are applicable.