[PDF] Top 20 β# - I- Continuous Multifunctions

... of multifunctions has applications in functional analysis and fixed point ...of I−open sets in topological ...investigated I−open sets and I−continuous ...of I−continuity. Hatır ... See full document

... G. I. Chae f u r t h e r s t u d i e d slightly semi-continuous f u n c t i o n s in ...d i e d about slightly β-continuous fun ction s in ... See full document

... respectively. A fuzzy set is said to be quasi-coincident with (written as $ ) [3] if () + () > 1 for some ∈ . A fuzzy set is said to be not quasi-coincident with (written as $ ) [3] if () + () ≤ 1 for all ∈ . A fuzzy ... See full document

... ideal I on X is called an ideal topological space and is denoted by (X,τ , ...∈ I for every U ∈ τ (x)} is called the local function of A with respect to I and τ ...and β-I-open[6] if A⊆ ... See full document

... j)-β- I-i D(A) \ { x } ) ̸ = ...j)-β- I-i D(A ∪ (i, j)-β -I-i D(A)) ⊆ A ∪ (i, j)-β -I-i ... See full document

... (b) (i) Suppose that f is open. Let x ∈ X and U be an open set containing x. Then f (U ) is an open set of Y containing f (x). Since Y is ultra regular, there exists a clopen set V such that f (x) ∈ V ⊂ f (U ). ... See full document

... Compactness is one of the most useful and fundamental notions of not only general topology but also for other advanced branches of Mathematics. Lellis Thivagar et.al [5] recently introduce the class of  ˆ -closed sets ... See full document

... 1 I NTRODUCTION t is well known that various types of functions play a sig- nificant role in the theory of classical point set ...and multifunctions are important tools for studing the properties of spaces ... See full document

... resp. μ-preopen, μ-α-open, μ-β-open sets of X containing a point x ∈ X is denoted by σμ, x resp. πμ, x, αμ, x, and βμ, x. The family of all μ-semiopen resp. μ-preopen, μ-α-open, μ-β-open sets of X is ... See full document

... d i e d slightly semi-continuous f u n c t i o n s in ...d i e d about slightly β -continuous functionsin ...δ− continuous functions in ...-- continuous functions ... See full document

... finite number points , , ... , in F(x) such that F(x) ⊆ { : i=1,2, ... ,n}. Use U= { : i=1,2, ... ,n} and V= { : i=1,2, ... ,n}. Then U is a semi-open and V is an open set in Y such that F(x)⊆U and ... See full document

... Similarly, from the results given in the fourth section we get the Levinson type gen- eralization of the right-side inequality of the generalized Hermite-Hadamard inequality. Here we allow that the mean value x ˜ goes ... See full document

... [8, 10] A subset A of a space X is said to be a-almost paracompact aalmost t-paracompct iff for every X-open cover X-open cover o and I1 _< of A there xists an X-locally finite family o[r] ... See full document

... c},Y}. β* C (X,τ)={ϕ, {a} , {b} , {c} , {d},{a, b}, {a, c} ,{a, d}, {b, c} , {b, d},{c, d}, {a, b, d},{a, c, d} , {b, c, d} , X} g *C (X, τ) = {ϕ , {d} ,{a, d}, {b, d},{c, d},{a, b, c},{ {a, b, d} ,{a, c, d} , {b, ... See full document

... The concept of fuzzy sets was introduced by Zadeh [11] and later Atanassov [1] generalized this idea to intuitionistic fuzzy sets using the notion of fuzzy sets. On the other hand Coker [4] introduced intuitionistic ... See full document

... (Lord Mansfield in Berens v. to oblige them for safety to carry on their whole commerce in Dutch bottoms.. By edicts of the King of France, no goods can be expor[r] ... See full document

... and continuous functions were discussed by Bödewadt [], and their strictly decreasing roots were presented by Haˇıdukov ...and continuous functions having ...of continuous functions having a root ... See full document

... There are two different definitions of almost continuous mappings, one is given by Husain [1]; the other one is given by M. K. Singal and A. R. Singal [6]. In this note, following Mashhour et al. [4], we use ... See full document

... Around 1955, Darbo 1 ensured the existence of fixed points for so-called condensing operators on Banach spaces, a result which generalizes both Schauder fixed point theorem and Banach contractive mapping principle. More ... See full document

... In this section we use the theoretical results obtained previously, to conduct a study of convex integral functlonals which are defined on Lebesgue-Bochner spaces.. dimensions and Bismut[r] ... See full document