AN APPLICATION OF DARBO FIXED- POINT THEOREM TO A CLASS OF FUNCTIONAL INTEGRAL EQUATIONS

Cakan U., Ozdemir I.

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, cilt.36, sa.1, ss.29-40, 2015 (SCI-Expanded) identifier identifier

  • 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.