Fixed Point Theorems of Generalized Contractions in Partially Ordered Cone Metric Spaces
Functional Analysis
2012-05-31 v2
Abstract
The aim of this paper is to present some fixed point theorems for generalized contractions by altering distance functions in a complete cone metric spaces endowed with a partial order. We also generalize fixed point theorems of J. Harjani, K. Sadarangani [J. Harjani, K. Sadarangani, Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations, Nonlinear Analysis 72 (2010) 1188-1197] from metric spaces to cone metric spaces.
Keywords
Cite
@article{arxiv.1102.4019,
title = {Fixed Point Theorems of Generalized Contractions in Partially Ordered Cone Metric Spaces},
author = {Mehdi Asadi and Hossein Soleimani},
journal= {arXiv preprint arXiv:1102.4019},
year = {2012}
}
Comments
This paper has been withdrawn by the author