A periodic (dynamic) graph is an infinite graph with a repetitive structure and a compact representation. A periodic graph is represented by a finite directed graph, called the dependence or the static graph, with ddimensional integer vector weights associated with its edges. For every vertex in the dependence graph there corresponds a d-dimensional lattice in the periodic graph. For every edge...

introductiongeopolitics is a word that conjures up images. in one sense, the word provokes ideas of war, empire, and diplomacy: geopolitics is the practice of states controlling and competing for territory. geopolitics had a history before the term itself came in to use in 1899 by swede rudolf kjellen. it is apparent that many of great figures in the history of political thought, from the ancie...

The purpose of this paper is to find of the theoretical results of fixed point theorems for a mixed monotone mapping in a metric space endowed with partially order by using the generalized Kanann type contractivity of assumption. Also, as an application, we prove the existence and uniqueness of solution for a first-order ordinary differential equation with periodic bou...