An ideal I is a family of subsets of positive integers N which is closed under taking finite unions and subsets of its elements. In this paper we introduce some ideal convergent double interval valued numbers sequence spaces defined by Orlicz function and study different properties of these spaces. We also establish some inclusion relations among them.

This paper gives a partial solution to a problem of W. Taylor on characterization of the unit interval in the class of all topological spaces by means of the first order properties of their clones. A characterization within the class of compact spaces is obtained.

We establish some new topological types of nonempty intersection theorems in more general topological spaces without linear structure. As applications, we utilize results to study the minimax problems, coincidence problems, and economy equilibrium problems in generalized interval spaces and some new results are obtained. 2000 Mathematics Subject Classification. 49K35, 54D20, 54D05, 54H25.

In [Sch00] a bijection has been established, for the case of semilattices, between invariant partial metrics and semivaluations. Semivaluations are a natural generalization of valuations on lattices to the context of semilattices and arise in many different contexts in Quantitative Domain Theory ([Sch00]). Examples of well known spaces which are semivaluation spaces are the Baire quasi-metric s...

Abstract A method of solving a three-person game defined on product staircase-function strategy spaces is presented. The can be finite and continuous. based stacking equilibria “short” games, each an interval where the pure value constant. In case which factually are trimatrix considered in general terms, so they mixed strategies as well. stack any interval-wise combination (succession) respect...

we investigate compact composition operators on ceratin lipschitzspaces of analytic functions on the closed unit disc of the plane.our approach also leads to some results about compositionoperators on zygmund type spaces.