Existence of fixed points for condensing operators under an integral condition
Functional Analysis
2015-07-02 v1
Abstract
Our aim in this paper is to present results of existence of fixed points for continuous operators in Banach spaces using measure of noncompactness under an integral condition. This results are generalization of results given by A. Aghajania and M. Aliaskaria which are generalization of Darbo's fixed point theorem. As application we use these results to solve an integral equations in Banach spaces.
Cite
@article{arxiv.1507.00188,
title = {Existence of fixed points for condensing operators under an integral condition},
author = {Vatan Karakaya and Bouzara Nour El Houda and Kadri Dogan and Yunus Atalan},
journal= {arXiv preprint arXiv:1507.00188},
year = {2015}
}
Comments
11 pages