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2001, Applied Mathematics E Notes
In this paper, we introduce and discuss some strong forms of faintly continuity for multifunctions. Basic properties and characterizations of such multifunctions are established.
2008
An almost nearly continuity and almost nearly quasi- continuity have been investigated in a bitopological case. Several prop- erties of almost upper (lower) nearly quasi-continuous and almost nearly quasi-continuous multifunctions have been obtained.
MATHEMATICAL JOURNAL OF INTERDISCIPLINARY SCIENCES, 2014
A function f : (X, µ) → (Y, σ) is said to be faintly (µ, σ)-continuous if f-1 (V) is µ-open in X for every θ-open set V of Y. In this paper the authors introduce and investigate some types of faintly (µ-σ)-continuous functions on generalized topological space (X, µ) into the topological space (Y, σ). Some characterizations and properties of such a type of functions are discussed.
Real Analysis Exchange
The aim of this paper is to improve some recent results of Noiri and Popa on multifunctions by utilizing the concepts of almost β-continuous and weakly α-continuous multifunctions. We give some more results on strong irresolvability.
Boletim da Sociedade Paranaense de Matemática
The purpose of the present paper is to introduce and study upper and lower nearly I-continuous multifunctions. Basic characterizations, several properties of upper and lower nearly I-continuous multifunctions are investigated.
2014
The purpose of this paper is to introduce and study a new generalization of ω-continuous multifunction called slightly ω-continuous multifunctions in topological spaces. AMS (MOS) Subject Classification Codes: 54C10, 54C08, 54C05
Lobachevskii Journal of Mathematics, 2009
In this paper, we introduce and study the notion of almost contra-continuous multifunctions. Characterizations and properties of almost contra-continuous multifunctions are discussed.
IJISET - International Journal of Innovative Science, Engineering & Technology, 2014
The concept of M-open sets [15] can be applied in modifications of rough set approximations [36, 35] which is widely applied in many application fields. The aim of this paper is to introduce and study new forms of faint continuity which are called faint M-continuity. Moreover, basic properties and preservation theorems of faintly M-continuous functions are investigated. Also, the relationships between these functions and other forms are discussed. (2000) Mathematical Subject Classifications: 54B05; 54C08; 54D10. Key Words and Phrases: Faint M-continuity; M-compact ; M-connected spaces.
Italian Journal of Pure and Applied Mathematic, 2019
In this paper the authors introduce and study upper and lower nearly (I, J)-continuous multifunctions. Some characterizations and several properties concerning upper (lower) nearly (I, J)-continuous multifunctions are obtained. The results improves many results in Literature.
2019
The purpose of the present paper is to introduce, study and characterize upper and lower weakly (I, J)-continuous multifunctions and contra (I, J)-continuous multifunctions. Also, we investigate its relation with another class of continuous multifunctions.
2008
The aim of this paper is to introduce and study the concept of almost nearly continuous multifunction in bitopoogical spaces namely ultra multifunction in view of (1,2)α-open sets introduced in [4]. Basic characterization and several properties of both ultra upper and ultra lower almost nearly multifunction are defined and established. * AMS Subject Classifications : 54D05
Demonstratio Mathematica, 2011
The notion of almost cl-supercontinuity (≡ almost clopen continuity) of functions (Acta Math. Hungar. 107 (2005), 193-206; Applied Gen. Topology 10 (1) (2009), 1-12) is extended to the realm of multifunctions. Basic properties of upper (lower) almost cl-supercontinuous multifunctions are studied and their place in the hierarchy of strong variants of continuity of multifunctions is discussed. Examples are included to reflect upon the distinctiveness of upper (lower) almost cl-supercontinuity of multifunctions from that of other strong variants of continuity of multifunctions which already exist in the literature.
More on Upper and Lower Almost Nearly I-Continuous Multifunctions, 2018
The purpose of the present paper is to introduce and study upper and lower almost nearly continuous multifunctions using notions of topological ideals. Basic characterizations, several properties are investigated and its relation with another well known multifunctions are studied.
2015
In this paper we introduces a new definition , called iopen and via this definition we introduce class of topological concepts(μ-θ-i-open set, μ-θ-i-closed, strong faintly μ-θ-continuity, strong μ-θ-continuity )and we generalized these concepts in bi -supra topological space .At last many important theorems in strongly faintly M-θ-i-continuous functions are investigated. And study the relationships among these functions and other forms are discussed.
Transactions of A. Razmadze Mathematical Institute, 2021
In this paper, we introduce and study the concept of a new type of weak continuous multifunctions between bitopological spaces.
Southeast Asian Bulletin of Mathematics
A new class of functions called faintly g-continuous functions has been defined and studied in topological space. Also, the relationships between faintly g-continuous functions and graphs are investigated.
viXra, 2020
In this paper, we introduce and study upper and lower slightly $\delta$-$\beta$- continuous multifunctions in topological spaces and obtain some characterizations of these new continuous multifunctions.
Journal of Al-Nahrain University-Science, 2010
In this paper we introduce some characterizations of weakly *-m-continuous multifunctions and some results about strongly-m-continuous multifunctions.
International Journal of Pure and Apllied Mathematics, 2014
We have already introduced upper and lower (weakly) quasi continuous fuzzy multifunctions in [3] ([3]). In [8], Malakar introduced fuzzy θ-continuous multifunctions. Again Mukherjee and Malakar have introduced fuzzy almost continuous multifunctions [9]. In this paper we have established a mutual relationships among these fuzzy multifunctions.
European Journal of Mathematics, 2020
The paper deals with upper and lower quasi-continuity of multifunctions defined on a bitopological space. The main objective is to determine the conditions under which a multifunction is semi-continuous on a residual set.
Acta Universitatis Sapientiae, Mathematica, 2017
Erdal Ekici has introduced and studied nearly continuous multifunctions in [
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