The purpose of this paper is to establish some fixed point results for a class generalized $(\phi, \psi)$-weak contraction mapping in partially ordered $b$-metric space. This necessarily have unique under relation Also, the common and coincidence points self mappings are presented. These generalize extend an existing literature. Some illustrations given at end support results.

In this paper coupled coincidence points of mappings satisfying a nonlinear contractive condition in the framework of partially ordered metric spaces are obtained. Our results extend the results of Harjani et al. 2011 . Moreover, an example of the main result is given. Finally, some coupled coincidence point results for mappings satisfying some contraction conditions of integral type in partial...

In this paper, the concept of generalized Jaggi-Berinde contraction multivalued maps in partially ordered metric spaces is introduced. A fixed point theorem for such maps is established. An example is given to support our main result. We investigate the stability of fixed points for a sequence of generalized Jaggi-Berinde contraction multivalued maps in partially ordered metric spaces. Our resu...

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 ...

In 2007, Haung and Zhang introduced the notion of cone metric spaces. In this paper, we define an ordered space E, and we discuss some properties and examples. Also, normed ordered space is introduced. We recall properties of R, and we discuss their extension to E. We introduce the notion of E-metric spaces and characterize cone metric space. Afterwards, we get generalizations of notions of con...

The purpose of this paper is to find of the theoretical results of fixed point theorems for a mixed monotone mapping in a metric space endowed with partially order by using the generalized Kanann type contractivity of assumption. Also, as an application, we prove the existence and uniqueness of solution for a first-order ordinary differential equation with periodic bou...