Simulative Suzuki-Gerghaty Type Contraction with ℓ -Class Functions and Applications

Al-Mazrooei, Abdullah; Hussain, AZHAR; Ishfaq, Muhammad; Ahmad, Jamshaid

doi:10.1109/access.2019.2917499

Simulative Suzuki-Gerghaty Type Contraction with ℓ -Class Functions and Applications

Al-Mazrooei A. E., Hussain A., Ishfaq M., Ahmad J.

IEEE Access, cilt.7, ss.75284-75291, 2019 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 7
Basım Tarihi: 2019
Doi Numarası: 10.1109/access.2019.2917499
Dergi Adı: IEEE Access
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.75284-75291
Anahtar Kelimeler: C-class function, nonlinear integral equation, Simulation functions
Uşak Üniversitesi Adresli: Hayır

Özet

The purpose of this paper is to introduce the notion of a Suzuki-Gerghaty type contractive mapping via the simulation functions along with the C -class functions and prove the existence of the fixed point result. An example is given to show the validity of our results. Moreover, we prove the existence of solution of a nonlinear Hammerstein integral equation.