In this paper, we introduce the relatively new notion of ζ-open subset which is strictly weaker than open. We prove that the collection of all ζ-open subsets of a space forms a topology that is finer than the original one.…

In this article we introduce the notion of weakly b–continuous functions in bitopological spaces as a generalization of b–continuous functions. We prove several properties of these functions.

In this paper we have introduced the notion of fuzzy real-valued p-bounded variation double sequence space 2bvp/F(1 ≤ p < ∞). We have studied some important properties like completeness, convergence free, solid, symmetric. Some inclusion results are also established.  ,

Temperature distribution which occurs in pavement and bridge slabs heated for de-icing and snow melting during cold periods is determined by using vertical ground-source heat pump (GSHP) systems with U-tube ground heat exchanger (GHE). The bridge and pavement models (slabs)…

In this paper, a new kind of set called an αγ-open set is introduced and investigated using the γ-operator due to Ogata. Such sets are used for studying new types of mappings, viz. αγ-continuous, α(γ,β)-irresolute, etc. Finally, new separation axioms:…

Higher homotopy of graphs has been defined in several articles. However, the existence of a long exact sequence associated to a pair (G, A) has not been touched at. We treat it here. Applied to the discrete spheres, this lead…

In this paper, we introduce the concept of αγ-open sets as a generalization of γ-open sets in a topological space (X, τ). Using this set, we introduce αγT0, αγ-T½, αγT1, αγT2, αγD0, αγD1 and αγD2 spaces and study some of…

In this paper, the concepts of (∈γ,∈γ vqδ)-fuzzy fantastic ideals and (¯∈γ, ¯∈γ v ¯qδ)-fuzzy fantastic ideals in BCH-algebras are introduced and investigate some of their properties. 

In this paper, by using the concept of belongingness (∈) and quasi-coincidence (q) between fuzzy points and fuzzy sets, we introduce (α, β)-fuzzy positive implicative ideals in BCK-algebras where α, β are any of {∈, q, ∈ V q, ∈…

In this paper we introduce the strongly generalized difference sequence spaces of modulus function and is a non-negative four dimensional matrix of complex numbers and (pi(mn)) is a sequence of positive real numbers. We also give natural relationship between strongly…