English

Gerghaty type results via simulation and $\mathcal{C}$-class functions with application

Functional Analysis 2018-10-26 v1

Abstract

In this paper we study the notion of Gerghaty type contractive mapping via simulation function along with C\mathcal{C}-class functions and prove the existence of several fixed point results in ordinary and partially ordered metric spaces. An example is given to show the validity of our results given herein. Moreover, existence of solution of two-point boundary value second order nonlinear differential equation is obtain.

Keywords

Cite

@article{arxiv.1810.10868,
  title  = {Gerghaty type results via simulation and $\mathcal{C}$-class functions with application},
  author = {Azhar Hussain and Muhammad Ishfaq and Tanzeela Kanwal and Stojan Radenović},
  journal= {arXiv preprint arXiv:1810.10868},
  year   = {2018}
}

Comments

arXiv admin note: text overlap with arXiv:1810.09969

R2 v1 2026-06-23T04:52:32.048Z