SUPSETS ON PARTIALLY ORDERED TOPOLOGICAL LINEAR SPACES

Partially Ordered Topological Spaces

Linearly Ordered Topological Spaces

This work is devoted to the study of certain cardinality modifications of paracompactness and compactness in the setting of linearly ordered spaces. Some of the concepts treated here have previously been studied by Aquaro [l]1, Gulden [4], Kennison [5], Mansfield [6], Morita [7], and Poppe [9]. On the other hand, the concept of m-boundedness, introduced in §2, is new. Our main results (Theorems...

Inductive properties of fixed point sets of mappings on posets and on partially ordered topological spaces

Random Dynamical Systems on Ordered Topological Spaces

Let (Xn, n ≥ 0) be a random dynamical system and its state space be endowed with a reasonable topology. Instead of completing the structure as common by some linearity, this study stresses – motivated in particular by economic applications – order aspects. If the underlying random transformations are supposed to be order-preserving, this results in a fairly complete theory. First of all, the cl...

FUZZY FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS IN PARTIALLY ORDERED METRIC SPACES

In this paper, we consider fuzzy fractional partial differential equations under Caputo generalized Hukuhara differentiability. Some new results on the existence and uniqueness of two types of fuzzy solutions are studied via  weakly contractive mapping in the partially ordered metric space. Some application examples are presented to illustrate our main results.