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...

Let (X,d,K) be a cone b-metric space over a ordered Banach space (E, ) with respect to cone P. In this paper, we study two problems: (1) We introduce a b-metric ρc and we prove that the b-metric space induced by b-metric ρc has the same topological structures with the cone b-metric space. (2) We prove the existence of the coincidence point of two mappings T , f : X → X satisfying a new quasi-co...

In this paper, we introduce a new concept on a complete partially ordered Dmetric space by using the concept of D-metric space it's called ∇ -distance which is a generalized of the concept of a w-distance. The main result of our paper is prove some fixed point theorems in complete partially ordered D-metric space. Mathematics Subject Classification: 47H10, 54H25

Introduction. Several authors have proved theorems of the type: The "structure" of a certain class of transformations defined on a "suitable" space A to a fixed "suitable" space B "determines" the space A. As examples, we have: Banach [3, p. 170, see also 6, 7, 13] i The Banach space of all real, continuous functions defined on a compact metric space A "determines" A. Eidelheit [5, see also 2, ...

Very recently, Kuman et al. [P. Kumam, W. Sintunavarat, S. Sedghi, and N. Shobkolaei. Common Fixed Point of Two $R$-Weakly Commuting Mappings in $b$-Metric Spaces. Journal of Function Spaces, Volume 2015, Article ID 350840, 5 pages] obtained some interesting common fixed point results for two mappings satisfying generalized contractive condition in $b$-metric space without the assumption of the...

Some new fixed point theorems for multi-valued operator satisfying increasing properties are proved in partial ordered metric space and in partial ordered Banach space, respectively.

In this paper we show that by renorming an ordered Banach space, every cone P can be converted to a normal cone with constant K = 1 and consequently due to this approach every cone metric space is really a metric one and every theorem in metric space is valid for cone metric space automatically.