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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

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Adv. Fixed Point Theory 10 (2020), Article ID 1

Nonlinear generalized Ï•-contractions in complete G-metric spaces and applications

S. A. M. Mohsenialhosseini

PDF (152.7 KB) https://doi.org/10.28919/afpt/4278

Abstract

We will first introduce the fixed point property and a new class of operators and contraction mapping for classes of ϕ-contractions in E−G-metric spaces. Also, we will realize the study of the fixed point theory for (local and global) nonlinear contractions with an o-comparison function in E −G-metric spaces. We also introduce Gopen ball, G-closed ball and X(x0,r) and obtain some fixed point theorems. Furthermore we give an application to a Fredholm-Volterra type differential equation where one of the integral operators satisfies ϕ-contraction condition.

Published
25 October 2019
Volume
10 (2020)
License
CC BY 3.0

Copyright © 2019 S. A. M. Mohsenialhosseini. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

S. A. M. Mohsenialhosseini, Nonlinear generalized Ï•-contractions in complete G-metric spaces and applications, Adv. Fixed Point Theory 10 (2020), 1. https://doi.org/10.28919/afpt/4278

BibTeX
@article{Mohsenialhosseini2020,
  author  = {Mohsenialhosseini, S. A. M.},
  title   = {Nonlinear generalized Ï•-contractions in complete G-metric spaces and applications},
  journal = {Adv. Fixed Point Theory},
  volume  = {10},
  year    = {2020},
  pages   = {1},
  doi     = {10.28919/afpt/4278}
}