This paper is concerned with mixed monotone mappings in partially ordered cone metric spaces. We establish several fixed point theorems, which generalize and complement some known results. Especially, even in a partially ordered metric space, our main results are generalizations of the fixed point theorems due to Bhaskar and Lakshmikantham [T. Grana Bhaskar, V. Lakshmikantham, Fixed point theor...

In this paper, we obtain coupled coincidence and coupled fixed points of mappings satisfying a non linear contractive condition in partially ordered partial metric spaces. Our results generalize the theorems of H.Aydi [4] and W. Shatanawi et.al. [20]. We also provide an example to support our results. AMS (MOS) Subject Classification Codes: 54H25, 47H10

In this paper, we establish some new coupled fixed point theorems in ordered partial b-metric spaces. Also, an example is provided to support our new results. The results presented in this paper extend and improve several well-known comparable results. c ©2016 All rights reserved.

In this paper, we consider a new class of pairs of generalized contractive type mappings defined in ordered partial metric spaces. Some coincidence and common fixed point results for these mapping are presented. An example is given to illustrate our obtained results.

In this paper, by reducing of coincidence and coupled fixed point results in ordered metric spaces to the respective results for mappings with one variable, some recent results established by T. G. Bhaskar and V. Lakshmikantham [T. G. Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Analysis 65 (2006) 1379-1393], V. Lakshmikantham a...