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Submitted
July 16, 2017
Accepted
April 12, 2018
Published
March 1, 2019
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Abstract

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.

Keywords

Measure of noncompactness Fixed point System of integral equations.

Article Details

Author Biographies

Vatan Karakaya, Yıldız Technical University

Department of Mathematical Engineering

Mohammad Mursaleen, Aligarh Muslim University, Aligarh 202002,

Department of Mathematics

Nour El Houda Bouzara, University of Science and Technology HouariBoumediène, Bab-Ezzouar, 16111 Algies,

Faculty of Mathematics,

Derya Sekman, Faculty of Arts and Sciences, Ahi EvranUniversity, 40100 Kirsehir

Department of Mathematics
How to Cite
Karakaya, V., Mursaleen, M., Bouzara, N. E. H., & Sekman, D. (2019). Measure of Non-Compactness in The Study of Solutions for A System of Integral Equations. Journal of the Indonesian Mathematical Society, 25(1), 62–74. https://doi.org/10.22342/jims.25.1.554.62-74
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