Almost Weakly Continuous Multifunction

Noiri, Takashi; Popa, Valeríu

doi:10.1515/dema-1993-0211

Cited by 31 publications

(25 citation statements)

References 7 publications

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“…is said to be almost contra-continuous [25](almost contra-pre-continuous [9], almost contra-semi-continuous [14], almost contra-α-continuous [23], almost contra-β-continuous…”

Section: Definitionmentioning

confidence: 99%

On the class of weakly almost contra-$T^*$-continuous functions

Alabdulsada¹

2019

Publ. Math. Debrecen

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The aim of this paper is to introduce and investigate a new class of functions called weakly almost contra-T * -continuity which is defined as a function from an operator topological space (X, τ, T ) into an arbitrary topological space (Y, δ). Furthermore, some new characterizations, several basic propositions are proved and some relevant counterexamples are provided.2000 Mathematics Subject Classification. 54C05, 54C08, 54C10.

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“…is said to be almost contra-continuous [25](almost contra-pre-continuous [9], almost contra-semi-continuous [14], almost contra-α-continuous [23], almost contra-β-continuous…”

Section: Definitionmentioning

confidence: 99%

On the class of weakly almost contra-$T^*$-continuous functions

Alabdulsada¹

2019

Publ. Math. Debrecen

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“…semi-open [18], preopen [14], b-open [4] or γ-open [11] or sp-open [10], δ-preopen [33], β-open [1] or semi-preopen [3]…”

Section: Preliminariesmentioning

confidence: 99%

A weak form of some types of continuous multifunctions

Ekici¹,

Park²

2006

Filomat

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Abstract. The aim of this paper is to introduce and study upper and lower almost γ-continuous multifunctions as a generalization of some types of continuous multifunctions including almost continuity, almost α-continuity, almost precontinuity, almost quasi-continuity and γ-continuity. Furthermore, basic characterizations, preservation theorems and several properties concerning upper and lower almost γ-continuous multifunctions are investigated. The relationships between almost γ-continuous multifunctions and the other types of continuity are also discussed.

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“…EXAMPLE 16. Let X = {a, b, c, d} and let a and r be topologies on X given by a = {0, X, {a, b}} and r = {0, X, {a}, {b, c, d}}.…”

Section: Theorem 13 Let (Xt) (V (Zu>) Be Topological Spaces and mentioning

confidence: 99%

SLIGHTLY SS-Continuous MULTIFUNCTIONS

Ekici¹

2005

Demonstratio Mathematica

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Abstract. In this paper, we introduce and study upper and lower slightly /3-continuous multifunctions as a generalization of upper (lower) semicontinuous, upper (lower) a-continuous, upper (lower) precontinuous, upper (lower) quasi-continuous, upper (lower) 7-continuous, upper (lower) /^-continuous multifunctions and slightly /^-continuous functions. Some characterizations and several properties concerning upper (lower) slightly /3-continuous multifunctions are obtained. Furthermore, the relationships between upper (lower) slightly /3-continuous multifunctions and other related multifunctions are also discussed. IntroductionContinuity of functions and various types of stronger and weaker forms of continuity of functions are the basic topics in the general topology. In the several branches of mathematics, many authors have researched various stronger and weaker forms of the continuity of functions. A great number of papers dealing with such functions have appeared, and many of them have been extended to the setting of multifunctions. Most of them in ordinary topology have been studied in the setting of multifunctions such as a-continuity [13] PreliminariesIn this paper, spaces (X,T) and (Y, v) (or simply X and Y) always mean topological spaces on which no seperation axioms are assumed unless explicitly stated. For a subset A of (X, r), cl(A) and int(A) represent the closure of A with respect to r and the interior of A with respect to r, respectively. (X,x) (resp. U G SO(X, x), U G aO (X, x), U G (30(X, x), U G 7<9(X, x)) such that F(U) C V. (cl(int(A))) (resp. A C cl(int(A)), A C int(cl(A)), A C cl(int(cl(A))), A C cl(int(A)) Uint(cl(A))).

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Almost Weakly Continuous Multifunction

Cited by 31 publications

References 7 publications

On the class of weakly almost contra-$T^*$-continuous functions

On the class of weakly almost contra-$T^*$-continuous functions

A weak form of some types of continuous multifunctions

SLIGHTLY SS-Continuous MULTIFUNCTIONS

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