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

Cakan U., Ozdemir I.

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, vol.36, no.1, pp.29-40, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 36 Issue: 1
  • Publication Date: 2015
  • Doi Number: 10.1080/01630563.2014.951771
  • Journal Name: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.29-40
  • Keywords: Darbo fixed-point theorem, Measure of noncompactness, Nonlinear integral equations, 45M99, 47H09
  • Inonu University Affiliated: Yes

Abstract

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.