Let (X,1) be a partially ordered set and d be a metric on X such that (X, d) is a complete metric space. Let F : X ×X Ã X be a mixed monotone set valued mapping. We obtain sufficient conditions for the existence of a coupled fixed point of F.

Abbas M, Arsad M, Azam A (2013), Fixed points of asymptotically regular mappings in complex-valued metric spaces, Georgian Math. J. , 20 (2), 213-221. Abbas M. Fisher B, Nazir T (2012), Well-posedness and periodic point property of mappings satisfying a rational inequality in an ordered complex valued metric space, Sci. Stud. Res. , Ser. Math. Inform. , 22 (1), 5-24. Ahmad J, Klin-Eam C, Azam A...

Abbas M, Arsad M, Azam A (2013), Fixed points of asymptotically regular mappings in complex-valued metric spaces, Georgian Math. J. , 20 (2), 213-221. Abbas M. Fisher B, Nazir T (2012), Well-posedness and periodic point property of mappings satisfying a rational inequality in an ordered complex valued metric space, Sci. Stud. Res. , Ser. Math. Inform. , 22 (1), 5-24. Ahmad J, Klin-Eam C, Azam A...

Abbas M, Arsad M, Azam A (2013), Fixed points of asymptotically regular mappings in complex-valued metric spaces, Georgian Math. J. , 20 (2), 213-221. Abbas M. Fisher B, Nazir T (2012), Well-posedness and periodic point property of mappings satisfying a rational inequality in an ordered complex valued metric space, Sci. Stud. Res. , Ser. Math. Inform. , 22 (1), 5-24. Ahmad J, Klin-Eam C, Azam A...

Abbas M, Arsad M, Azam A (2013), Fixed points of asymptotically regular mappings in complex-valued metric spaces, Georgian Math. J. , 20 (2), 213-221. Abbas M. Fisher B, Nazir T (2012), Well-posedness and periodic point property of mappings satisfying a rational inequality in an ordered complex valued metric space, Sci. Stud. Res. , Ser. Math. Inform. , 22 (1), 5-24. Ahmad J, Klin-Eam C, Azam A...

Abbas M, Arsad M, Azam A (2013), Fixed points of asymptotically regular mappings in complex-valued metric spaces, Georgian Math. J. , 20 (2), 213-221. Abbas M. Fisher B, Nazir T (2012), Well-posedness and periodic point property of mappings satisfying a rational inequality in an ordered complex valued metric space, Sci. Stud. Res. , Ser. Math. Inform. , 22 (1), 5-24. Ahmad J, Klin-Eam C, Azam A...

the aim of this paper is to prove some common fixed point theorems for four  mappings satisfying $(psi,varphi)$-weak contractions involving rational expressions in ordered partial metric spaces. our results extend, generalize and improve some well-known results in the literature. also, we give two examples to illustrate our results.

‎We present some existence and convergence results for a general class of nonexpansive mappings in partially ordered hyperbolic metric spaces‎. ‎We also give some examples to show the generality of the mappings considered herein.

Our theorems are on ordered cone metric spaces which are not necessarily normal. In the end, we describe the application of the main results in the integral equation.Although Du in [W‎. ‎S‎. ‎Du‎, ‎A note on cone metric fixed point theory and its equivalence‎, ‎Nonlinear Analysis‎, ‎72(2010) 2259-2261.]‎, ‎showed that the fixed point results in the setting of cone...

We give some generalizations of the Banach Contraction Principle to mappings on a metric space endowed with a graph. This extends and subsumes many recent results of other authors which were obtained for mappings on a partially ordered metric space. As an application, we present a theorem on the convergence of successive approximations for some linear operators on a Banach space. In particular,...