The purpose of this paper is to establish coincidence point and common fixed point results for four maps satisfying generalized weak contractions in cone metric spaces. Also, an example is given to illustrate our results.

Abstract. In this paper, we prove results on n-tupled coincidence as well as n-tupled fixed point in partially ordered complete metric spaces for a pair of weakly contractive compatible mappings whenever n is even, wherein control functions are also employed. Our main theorem improves the corresponding results of Choudhury et al. (Ann. Univ. Ferrara 57: 1-16, 2011). We illustrate our main resul...

Abstract. In this paper, we prove some fixed point results for T -contraction mappings in partially ordered b-metric spaces that generalize the main results of [H. Huang, S. Radenović, J. Vujaković, On some recent coincidence and immediate consequences in partially ordered b-metric spaces, Fixed Point Theory Appl., 2015, Paper No. 63]. As an application, we discuss the existence for a solution ...

It is well known that the classical contraction mapping principle of Banach is a fundamental result in fixed point theory. Several authors have obtained various extensions and generalizations of Banach’s theorems by considering contractive mappings on different metric spaces. Huang and Zhang [1] have replaced real numbers by ordering Banach space and have defined a cone metric space. They have ...

Recently, Choudhury and Metiya [Fixed points of weak contractions in cone metric spaces, Nonlinear Analysis 72 (2010) 1589-1593] proved some fixed point theorems for weak contractions in cone metric spaces. Weak contractions are generalizations of the Banach's contraction mapping, which have been studied by several authors. In this paper, we introduce the notion of $f$-weak contractions and als...

The aim of this paper is to prove a common fixed point theorem for nonexpansive type single valued mappings which include both continuous and discontinuous mappings by relaxing the condition of continuity by weak reciprocally continuous mapping. Our result is generalize and extends the corresponding result of Jhade et al. [P.K. Jhade, A.S. Saluja and R. Kushwah, Coincidence and fixed points of ...

The purpose of this paper is to establish some coupled coincidence point theorems for a pair of mappings having a mixed g-monotone property satisfying a contractive condition of rational type in the framework of partially ordered metric spaces. Also, we present a result on the existence and uniqueness of coupled common fixed points. The results presented in the paper generalize and extend sever...

Many authors have been using the Hausdorffmetric to obtain fixed point and coincidence point theorems for multimaps on a metric space. In most cases, the metric nature of the Hausdorff metric is not used and the existence part of theorems can be proved without using the concept of Hausdorff metric under much less stringent conditions on maps. The aim of this paper is to illustrate this and to o...

In this paper, we have established coupled coincidence point results for pair of mappings in partially ordered G-metric spaces. We have defined w-compatibility in this context to ensure the uniqueness of the coupled common fixed point. There are several corollaries which extend some known results of coupled coincidence points and coupled fixed points. The main theorem is illustrated with an exa...