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, cilt.25, sa.1, ss.62-74, 2019 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.22342/jims.25.1.554.62-74
  • Dergi Adı: JOURNAL OF THE INDONESIAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.62-74
  • Anahtar Kelimeler: Measure of noncompactness, Fixed point, System of integral equations, KEELER CONDENSING OPERATORS, FIXED-POINT THEOREMS, EXISTENCE
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

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.