Existence and uniqueness for a neutral differential problem with unbounded delay via fixed point results

Hussain A., Kanwal T.

Transactions of A. Razmadze Mathematical Institute, cilt.172, sa.3, ss.481-490, 2018 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 172 Sayı: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1016/j.trmi.2018.08.006
  • Dergi Adı: Transactions of A. Razmadze Mathematical Institute
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.481-490
  • Anahtar Kelimeler: Delay differential equation, F-metric space, Fixed point, α-ψ-contraction
  • Uşak Üniversitesi Adresli: Hayır

Özet

Jleli and Samet (2018) introduced a new metric space and named it as F-space. In this paper we consider the notion of α-ψ-contraction in the setting of F-metric spaces. We present some fixed point and coupled fixed point results in the generalized setting. Moreover, our purpose in this paper is to concerned with the solution of nonlinear neutral differential equation [Formula presented]with unbounded delay using fixed point theory in F-metric space.