On Λ-generalized closed sets in topological spaces

On Lembda Gamma- Set in Fuzzy Bitopological Spaces

“…In 2013 B.C. Tripathy et al [22] have introduced the concepts of (i, j)-fuzzy γ-open sets in [10] introduced Λ g -closed set in a topological space which is a weaker form of closed sets and stronger form of generalized-closed sets in the given space. K .Balasubramanian et al [4] introduce the above concept in fuzzy environment in 2014.…”

“…Section 4 is devoted to study (i, j)-fuzzyΛ γ -generalized closed set. In [10], M. Caldas et al have shown one equivalent condition using the locally closed set but we formulate the same equivalent condition with the help of a weaker form of fuzzy locally closed set. In section 5 we study the application part of (i, j)-fuzzy Λ γ -closed set i.e (i, j)-fuzzy Λ γ -generalized continuity and discover some related results.…”

“…Definition 1.4. A subset B of a topological space (X,τ ) is called a λ-closed [9] if B= C ∧ D where C is a Λ-set and D is a closed set.…”

A Strong Form of Lindelof Spaces

“…The complement of -closed set is called -open [1]. A point xX in a topological space (X,) is said to be -cluster point of A [2] if for every -open set U of X containing x,…”

“…The set of all -cluster points of A is called the -closure of A and is denoted by Cl  (A) [2]. A point xX is said to be the -interior point of A if there exists a -open set U of X containing x such that U A.…”