Nonexpansive retracts and weak compatible pairs in metric Spaces

Fixed Point Theory and Applications, 2009

We prove several fixed point theorems on cone metric spaces in which the cone does not need to be normal. These theorems generalize the recent results of Huang and Zhang 2007 , Abbas and Jungck 2008 , and Vetro 2007. Furthermore as corollaries, we obtain recent results of Rezapour and Hamlborani 2008 .

2015

T he aim of the paper is to prove the existence of common fixed points for two pairs of weakly compatible self maps in dislocated metric spaces under various control conditions, which improves the results of Sumathi Kumari et.al. [7].

Kathmandu University Journal of Science, Engineering and Technology, 2013

The purpose of this paper is to establish a common fixed point theorem for pairs of weakly compatible maps in dislocated metric space which generalizes and improves similar fixed point results. Kathmandu University Journal of Science, Engineering and Technology Vol. 8, No. II, December, 2012, 25-30 DOI: http://dx.doi.org/10.3126/kuset.v8i2.7321

2012

In this paper, we extend the very recent result of Sintunavarat et al. in the paper 'Coupled fixed point theorems for weak contraction mapping under F-invariant set' (Abstr. Appl. Anal. 2012:324874, 2012. In particular, we give an example of a nonlinear contraction mapping for which our result successfully detects a coupled fixed point in contrast to the result of Sintunavarat et al., which is not applied to show the existence of a coupled fixed point. As a consequence, the main results in this paper extend and unify many results in the topic of coupled fixed points including the results of Sintunavarat et al. Also, some applications of the main results are given. MSC: 54H25; 47H10

2016

The purpose of this paper is to establish a common fixed point theorem for pairs of weakly compatible maps in dislocated metric space which generalizes and improves similar fixed point results.

Kathmandu University Journal of Science, Engineering and Technology, 1970

In this paper we establish a common fixed point theorem for two pairs of weakly compatible maps in dislocated metric space which generalizes and improves similar fixed point results.

Nonlinear Analysis: Theory, Methods & Applications, 1990

Nonlinear Analysis: Theory, Methods & Applications, 1996

In this paper, we introduce and study one-local retract of metric spaces. In particular we prove that any commutative family of nonexpansive mappings defined on a metric space with a compact and normal convexity structure has a common fixed point. This conclusion was known in Banach spaces with no similar result in metric spaces.

Discrete Dynamics in Nature and Society, 2012

studied common fixed point theorems on cone metric spaces by using the concept of c-distance. In this paper, we prove some coupled fixed point theorems in ordered cone metric spaces by using the concept of c-distance in cone metric spaces.

Honam Mathematical Journal, 2017

In this paper, we aim to prove certain common fixed point theorems for a pair of weakly compatible mappings satisfying (CLRg) (or (E.A)) property in the bicomplex valued metric spaces. We also provide some examples which support the main results here.