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

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

IEEE Access, vol.7, pp.75284-75291, 2019 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 7
  • Publication Date: 2019
  • Doi Number: 10.1109/access.2019.2917499
  • Journal Name: IEEE Access
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.75284-75291
  • Keywords: C-class function, nonlinear integral equation, Simulation functions
  • Uşak University Affiliated: No

Abstract

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.