In this paper a new class of sets called αδ-closed set is introduced and its properties are studied. Further the notion of Tαδ –Space and αδ–continuity, Super-αδ-continuity, αδirresoluteness, Strongly-αδ-super-irresoluteness are introduced. Further, we obtain some characterizations and some properties.

We consider the regularity of solutions for some parabolic equations. We show Hölder continuity with exponent (1 + α)/2, with respect to the time variable, when the gradient in the space variable of the solution has the Hölder continuity with exponent α.

In this paper, we introduce the concept of IVF weakly M -continuity and investigate some characterizations for IVF weakly M -continuous mappings between an IVF minimal space and an IVF topological space.

In this paper, we introduce the concept of fuzzy weakly r-minimal continuous function between a fuzzy r-minimal space and a fuzzy topological space. We investigate characterizations and some properties for the continuity.

In this paper, we prove a common fixed point theorem for noncompatible maps in probabilistic metric space using implicit relation. Our result does not require either the completeness of the space or continuity of the maps. Full text

DEDEKIND has said that continuity of space is not essential to the constructions of Euclid and has defined a discontinuous space in which, " so far as he sees," the constructions can be made.* To prove this it is only necessary to show that the constructions will never ]ead out of the given discontinuous space if we start in it—in other words, if we start with a figure of the discontinuous spac...

We show that the experimental verification of Newtonian mechanics and of non-relativistic quantum mechanics do not imply that space is continuous. This provides evidence against the realist interpretation of the most mathematical parts of physics.

Protein structure classification hierarchically clusters domain structures based on structure and/or sequence similarities and plays important roles in the study of protein structure-function relationship and protein evolution. Among many classifications, SCOP and CATH are widely viewed as the gold standards. Fold classification is of special interest because this is the lowest level of classif...

This paper generalizes to nonlinear evolutionary processes on a metric space the well-known results connecting measurability and continuity properties with respect to time of linear semigroups of continuous operators on a Banach space.