3 papers
math.FA2011
About nonlinear contractive conditions on cone metric spaces
Ion Olaru
In the present work we shall show that nonlinear contractive conditions on TVS-cone metric spaces can be reduced to nonlinear contractive conditions on usual metric spaces. Our res…
math.FA2011
Some common fixed points results on metric spaces over topological modules
Ion Olaru
In this paper, we replace the real numbers by a topological R-module and define R-metric spaces . Also, we prove some common fixed point theorems on R-module metric spaces.…
math.FA2011
A note about the relation between fixed point theory on cone metric spaces and fixed point theory on metric spaces
Ion Olaru
Let Y be a locally convex Hausdorff space, K \subset E a cone and \leq_K the partial order defined by K. Let (X, p) be a TV S- cone metric space, ϕ : K \rightarrow K a vectorial co…