Here, some fixed point theorems in partially ordered spaces are proved. As an application, the existence of a solution integral equation is obtained.

In recent times the fixed point resulting in partially ordered metric spaces has greatly developed. In this paper we prove common fixed point results for multivalued and singlevalued mappings in partially ordered metric space. Our theorems generalized the theorem in [1] and extended much more recent results in such spaces.

In this paper, we prove triple fixed point theorems in partially ordered metric spaces depended on another function. The presented results generalize the theorem of Berinde and Borcut [Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces, Nonlinear Anal. 74(15) (2011) 4889–4897]. Also, we state some examples showing that our results are effective.

The purpose of this paper is to prove some coupled fixed point theorems for mapping having the mixed monotone property in partially ordered metric sapces which are generalization of the main results of Bhaskar and Lakshmikantham [T.G. Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal.TMA 65(2006) 1379 1393]. We support our resul...