ITERATIVE SOLUTION OF FUNCTIONAL VOLTERRA-FREDHOLM INTEGRAL EQUATION WITH DEVIATING ARGUMENT
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, vol.18, no.4, pp.675-684, 2017 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 18 Issue: 4
- Publication Date: 2017
- Journal Name: JOURNAL OF NONLINEAR AND CONVEX ANALYSIS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.675-684
- Keywords: Volterra-Fredholm functional integral equations, iteration method, data dependence, FIXED-POINTS
- Yıldız Technical University Affiliated: Yes
Abstract
In this paper, we show that the iteration method defined in "V. Karakaya, Y. Atalan, K. Dogan and NH. Bouzara, Some Fixed Point Results for a New Three Steps Iteration Process in Banach Spaces, Fixed Point Theory" converges to solution of the functional Volterra-Fredholm integral equation with deviating argument in a Banach space. Furthermore, a data dependence result for the solution of this integral equation has been proven.