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

Given a category C and directed partially ordered set J, certain proJ-C on inverse systems in is constructed such that the ordinary pro-category pro-C most special case of singleton J ? {1}. Further, known pro*-category pro*-C becomes proN-C. Moreover, given pro-reflective pair (C, D), J-shape ShJ(C, D) corresponding functor SJ are which, mentioned cases, become well ones. Among several importa...

A μ-lattice is a lattice with the property that every unary polynomial has both a least and a greatest fix-point. In this paper we define the quasivariety of μ-lattices and, for a given partially ordered set P , we construct a μ-lattice JP whose elements are equivalence classes of games in a preordered class J (P ). We prove that the μ-lattice JP is free over the ordered set P and that the orde...

In this paper, some recent results established by Marin Borcut [M. Borcut, Tripled fixed point theorems for monotone mappings in partially ordered metric spaces, Carpathian J. Math. 28, 2 (2012), 207--214] and [M. Borcut, Tripled coincidence theorems for monotone mappings in partially ordered metric spaces, Creat. Math. Inform. 21, 2 (2012), 135--142] are generalized and improved, with much sho...

Results from the rich and well-developed theory of well-quasi-ordering have often been rediscovered and republished. The purpose of this paper is to describe this intriguing subject. To illustrate the theory, here are two definitions and an elementary result. A partially ordered set is called well-partially-ordered if every subset has at least one, but only a finite number, of minimal elements....

Given a bipartite graph, let us pick an acyclic orientation of its edges. Then, if we consider the partially ordered set (poset) induced by this orientation, the number of linear extensions of such a poset is maximal whenever the orientation is bipartite, or such that no directed path of length two exists. We define a sequence of automorphisms that injectively but nonbijectively map the set of ...