In this work, we present and study new ordered separation axioms, namely supra Tci-ordered spaces (briey, STci-ordered spaces), for i = 0,12, 1,112, 2. We illustrate the relationships among these ordered spaces with the help of examplesand we point out under what conditions the initiated ordered separationaxioms are hereditary properties. Also, we derive some results which connect someof STci-ordered spaces with some topological notions such as supra limit points andsupra disconnected spaces, and with some algebra notions such as largest and smallestelements. Furthermore, we investigate the image of theses ordered spaces underS?-homeomorphism maps. Finally, we verify that the nite ordered product of STci-ordered spaces is STci-ordered, for i = 0,12, 1,112.

Based on a complete Heyting algebra, we modify the definition of lattice-valued fuzzifying convergence space using fuzzy inclusion order and construct in this way a Cartesian-closed category, called the category of L-ordered fuzzifying convergence spaces, in which the category of L-fuzzifying topological spaces can be embedded. In addition, two new categories are introduced, which are called the category of principal L-ordered fuzzifying convergence spaces and that of topological L-ordered fuzzifying convergence spaces, and it is shown that they are isomorphic to the category of L-fuzzifying neighborhood spaces and that of L-fuzzifying topological spaces respectively.

In this paper, it is shown that the category of L-ordered fuzzifying convergence spaces contains the category of pretopological L-ordered fuzzifying convergence spaces as a bireflective subcategory and the latter contains the category of topological L-ordered fuzzifying convergence spaces as a bireflective subcategory. Also, it is proved that the category of L-ordered fuzzifying convergence spaces can be embedded in the category of stratified L-ordered convergence spaces as a coreflective subcategory.

In this paper, a concept of generalized weakly contraction map-pings in partially ordered fuzzy metric spaces is introduced and coincidence point theorems on partially ordered fuzzy metric spaces are proved. Also, as the corollary of these theorems, some common fixed point theorems on partially ordered fuzzy metric spaces are presented.

The notion of a G-semigroup was introduced by Sen [8] in 1981. We can see that any semigroup can be considered as a G-semigroup. The aim of this article is to study the concept of (0-)minimal and max- imal ordered bi-ideals in ordered G-semigroups, and give some charac- terizations of (0-)minimal and maximal ordered bi-ideals in ordered G- semigroups analogous to the characterizations of (0-) minimal and maxi- mal ordered bi-ideals in ordered semigroups considered by Iampan [5].