COMMON FIXED POINT THEOREMS IN CONE METRIC SPACES

International Journal of Nonlinear Analysis and Applications, 2014

In this attempt we proved results on points of coincidence and common xed points for three selfmappings satisfying generalized contractive type conditions in cone metric spaces. Our results gen-eralizes some previous known results in the literature (eg. [5], [6])

Journal of Advances in Mathematics, 2010

The aim of this paper is to present coincidence point and common fixed point results for three self mappings satisfying generalized contractive conditions. The results presented in this paper generalize and extend several well-known results in the literature.

Fixed Point Theory and Applications, 2009

We prove a result on points of coincidence and common fixed points for three self-mappings satisfying generalized contractive type conditions in cone metric spaces. We deduce some results on common fixed points for two self-mappings satisfying contractive type conditions in cone metric spaces. These results generalize some well-known recent results.

The purpose of this paper is to translate a set of generalized contractive conditions for a couple of self-mappings to have a unique common fixed point in the language of cone metric spaces.

Rendiconti Del Circolo Matematico Di Palermo, 2008

We prove the existence of points of coincidence and common fixed points of a pair of self-mappings satisfying a generalized contractive condition in cone metric spaces. Our results generalize several well-known recent and classical results.

Bulletin of The Iranian Mathematical Society, 2011

We prove a coincidence and common fixed point theorems of three self mappings satisfying a generalized contractive type condition in cone metric spaces. Our results generalize some well-known recent results.

In this paper, we study the existence of coincidence points and a unique common fixed point theorem for three self-mappings in cone metric spaces, where the cone is not necessarily normal. This result extends and improves recent related results in the literature.

We obtain common fixed points of a pair of mappings satisfying a generalized contractive type condition in TVS valued cone metric spaces. Our results generalize some well-known recent results in the literature.

Fixed Point Theory and Applications, 2009

A lot of authors have proved various common fixed-point results for pairs of self-mappings under strict contractive conditions in metric spaces. In the case of cone metric spaces, fixed point results are usually proved under assumption that the cone is normal. In the present paper we prove common fixed point results under strict contractive conditions in cone metric spaces using only the assumption that the cone interior is nonempty. We modify the definition of property E.A , introduced recently in the work by Aamri and Moutawakil 2002 , and use it instead of usual assumptions about commutativity or compatibility of the given pair. Examples show that the obtained results are proper extensions of the existing ones.

2012

In this paper we have proved some coincidence and common fixed point theorem in cone metric space by using Jungck type contractive condition and generalized the results of Huang Long Guang and Zhang Xian.