Coupled random fixed point theorems in partially ordered metric spaces
Abstract
In this paper, we prove some coupled random fixed point theorems for mapping having a mixed monotone property in partially ordered metric spaces for non linear contractions. Two coupled random coincidence and coupled random fixed point theorems are proved. Our result is a generalization of main result of Ciric and Lakshmikantham [Stochastic Analysis and Applications 27:6 (2009), 1246–1259].
Copyright © 2012 Smriti Mehta and A. D. Singh. 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. M. a. A. D. Singh, Coupled random fixed point theorems in partially ordered metric spaces, Adv. Fixed Point Theory 2 (2012), 176–196.
BibTeX
@article{Singh2012,
author = {A. D. Singh, Smriti Mehta and},
title = {Coupled random fixed point theorems in partially ordered metric spaces},
journal = {Adv. Fixed Point Theory},
volume = {2},
year = {2012},
pages = {176--196},
doi = {}
}