MEASURE OF NONCOMPACTNESS IN THE STUDY OF SOLUTIONS FOR A SYSTEM OF INTEGRAL EQUATIONS

KARAKAYA V., Mursaleen M., Bouzara N. E. H., Sekman D.

JOURNAL OF THE INDONESIAN MATHEMATICAL SOCIETY, vol.25, no.1, pp.62-74, 2019 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 1
  • Publication Date: 2019
  • Doi Number: 10.22342/jims.25.1.554.62-74
  • Journal Name: JOURNAL OF THE INDONESIAN MATHEMATICAL SOCIETY
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.62-74
  • Keywords: Measure of noncompactness, Fixed point, System of integral equations, KEELER CONDENSING OPERATORS, FIXED-POINT THEOREMS, EXISTENCE
  • Yıldız Technical University Affiliated: Yes

Abstract

In this work, we prove the existence of solutions for a tripled system of integral equations using some new results of fixed point theory associated with measure of noncompactness. These results extend the results in some previous works. Also, the condition under which the operator admits fixed points is more general than the others in literature.