Existence of a solution of integral equations via fixed point theorem

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GÜLYAZ S., KARAPINAR E., Rakocevic V., Salimi P.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası:
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1186/1029-242x-2013-529
  • Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: cyclic representation, fixed point, CONTRACTIVE MAPPINGS, PROXIMITY POINTS
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this paper, we establish a solution to the following integral equation: u(t) = integral(T)(0) G(t, s)f(s, u(s)) ds for all t is an element of [0,T], (1)