On behaviour of Darbo fixed point theorem under function sequences

KARAKAYA V., Sekman D., ŞİMŞEK N.

Journal of Nonlinear and Convex Analysis, cilt.20, sa.11, ss.2313-2319, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 11
  • Basım Tarihi: 2019
  • Dergi Adı: Journal of Nonlinear and Convex Analysis
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2313-2319
  • Anahtar Kelimeler: Fixed point, measure of noncompactness, shifting distance function, sequences of functions
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

A lot of work has been done on fixed point studies using function classes. In this work, the existence of fixed point is investigated by taking function sequences instead of function classes. This idea has been applied to the Darbo fixed point theorem and obtained some results. Also, the study was supported by an interesting example held the conditions of function sequences.