Measure of Non-Compactness in The Study of Solutions for A System of Integral Equations

Vatan Karakaya (Yıldız Technical University)
Mohammad Mursaleen (Aligarh Muslim University, Aligarh 202002,)
Nour El Houda Bouzara (University of Science and Technology HouariBoumediène, Bab-Ezzouar, 16111 Algies,)
Derya Sekman (Faculty of Arts and Sciences, Ahi EvranUniversity, 40100 Kirsehir)

Journal of the Indonesian Mathematical Society
Volume 25 Number 1 (March 2019)

In this work, we prove the existence of solutions for a tripled systemof integral equations using some new results of fixed point theory associated withmeasure of noncompactness. These results extend the results in some previousworks. Also, the condition under which the operator admits fixed points is moregeneral than the others in literature.