Fixed point theorems for zν-contraction and applications to nonlinear integral equations

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Li X., Hussain A., Adeel M., SAVAŞ E.

IEEE Access, cilt.7, ss.120023-120029, 2019 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1109/access.2019.2933693
  • Dergi Adı: IEEE Access
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.120023-120029
  • Anahtar Kelimeler: Integral equations, Simulation functions, ν-contraction
  • Uşak Üniversitesi Adresli: Evet

Özet

The purpose of this paper is to define a new contractive type mapping called Zν -contraction and prove some fixed point and Suzuki type fixed point results in the context of complete metric spaces for such contraction and present some examples of the obtained results for illustration. Moreover, we present an application for the existence of a solution of certain nonlinear integral equations.