On multidimensional fixed-point theorems and their applications
Functional Analysis
2021-07-28 v1
Abstract
The purpose of this paper is to present some multidimensional fixed-point theorems and their applications. For this, we provide a multidimensional fixed point theorem and then using this theorem we prove the existence and uniqueness of a solution of a nonlinear Hammerstein integral equation. Moreover, we provide an example to illustrate the hypotheses and the abstract result of this paper.
Cite
@article{arxiv.2107.12904,
title = {On multidimensional fixed-point theorems and their applications},
author = {H. Akhadkulov and S. Akhatkulov and T. Y. Ying and R. Tilavov},
journal= {arXiv preprint arXiv:2107.12904},
year = {2021}
}