Some common fixed point theorems using (CLRg) property in cone metric spaces

Manoj Kumar, Pankaj Kumar, Sanjay Kumar

Abstract


In this paper, first we prove some common fixed point theorems for different types of contractive conditions. Secondly, we prove a common fixed point theorem for expansive mappings using (CLRg) property along with weakly compatible maps. In fact, our results generalize the results of Jha [3], Olaleru [8], Kadelburg et. al. [5], Khojasteh et. al. [7] and Kadelburg et. al. [6].

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How to Cite this Article:

Manoj Kumar, Pankaj Kumar, Sanjay Kumar, Some common fixed point theorems using (CLRg) property in cone metric spaces, Adv. Fixed Point Theory, 2 (2012), 340-356

Copyright © 2012 Manoj Kumar, Pankaj Kumar, Sanjay Kumar. 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.

Advances in Fixed Point Theory

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