English

Simulative Suzuki-Gerghaty type contraction with $\mathcal{C}$-class functions and applications

Functional Analysis 2018-10-24 v1

Abstract

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

Keywords

Cite

@article{arxiv.1810.09969,
  title  = {Simulative Suzuki-Gerghaty type contraction with $\mathcal{C}$-class functions and applications},
  author = {Abdullah Eqal Al-Mazrooei and Azhar Hussain and Muhammad Ishfaq and Jamshaid Ahmad},
  journal= {arXiv preprint arXiv:1810.09969},
  year   = {2018}
}
R2 v1 2026-06-23T04:50:07.540Z