ITERATIVE SOLUTION OF FUNCTIONAL VOLTERRA-FREDHOLM INTEGRAL EQUATION WITH DEVIATING ARGUMENT

Atalan Y., KARAKAYA V.

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, cilt.18, sa.4, ss.675-684, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 4
  • Basım Tarihi: 2017
  • Dergi Adı: JOURNAL OF NONLINEAR AND CONVEX ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.675-684
  • Anahtar Kelimeler: Volterra-Fredholm functional integral equations, iteration method, data dependence, FIXED-POINTS
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

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.