Department of Mathematics, Faculty of Science

The aim of this paper is to introduce and study the notion of M-open and
M-closed sets. Some characterizations of these notions are presented.
Also, some topological operations such as: M-boundary, M-exterior and  M-limit… etc., are introduced.

The aim of this paper is to introduce and study new forms of separation axioms by M-open sets. Moreover; basic
properties and preservation theorems of these separation axioms are investigated. Also; the relationships between them
and other forms are discussed.
(2000) Mathematical Subject Classifications: 54C05; 54C08.
Key Words and Phrases: M-Ti-space; for i = 0, 1, 2. M-regular, M-normal spaces.

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.

The aim of this paper is to introduce and study some new classes of mappings called M-open, M-closed, pre-M-open, pre-M-closed
and super M-open by M-open sets. Also, the relationships between these mappings are discussed. Several properties of these types
of mappings are presented.
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MSC: 54C05; 54C08; 54C10
Keywords: M-Open; Pre-M-open; Super M-open mappings; M-T1-Spaces; M-T2-Spaces; M-Compact; M-Connected spaces

The concept of M-open sets [1] can be applied in modifications of rough set approximations
[2,3] which is widely applied in many application fields. The aim of this paper is to introduce
and investigate some new classes of topological mappings called M-continuous mappings via
M-open sets. Also,
M-irresolute mappings which are stronger than M-continuous mappings are studied and the relationships
between these mappings are investigated. Several properties of these new notions have
been discussed and the connections between them are studied.
(2000) MATHEMATICAL SUBJECT CLASSIFICATIONS: 54C08; 54D10; 54C05

The aim of this paper is to introduce and investigate some new classes of mappings called
contra-M-continuous mappings and almost contra-M-continuous mappings via M-open sets. Also,
the relationships between these mappings and other types are discussed. Several properties of these
new notions are investigated and the connections between them are studied.

In this paper, we introduce and study the notion of generalized M-closed sets. Further, The notion of generalized M-open
sets and some of its basic properties are introduced discussed. Moreover, we introduce the forms of generalized
M-closed functions. We obtain some characterizations and properties are investigated.

We introduce a unified subclass of the function class 􀀶 of bi-univalent functions defined in the open unit disc.
Furthermore, the estimates and for |a2| and |a3 | are obtained . Moreover, a relevant connections with known results are
pointed out.

The aim of the present paper is to introduce a new subclass of
bi-univalent functions dened in the open unit disc using Hadamard product. We obtain estimates on the coffecients |a2| and |a3| for functions of this class. Some results related to this work will also be pointed out.

We introduce a new subclass of Non-Bazileviˇc functions of order alpha+i beta. Some subordination relations and
inequality properties are discussed. The results obtained generalize the related work of some authors. In addition, some other new results are also obtaine

We introduce and study two subclasses of multivalent functions. Further, by
using the method of differential subordination, certain inclusion relations between the two subclasses aforementioned are given. Moreover, several consequences of the main results are also discussed.

In this work, we introduce two new subclasses of the classes of S(, )- spirallike function of order  and S(, )-convexlike function of order . We also prove the sufficient conditions for f to be in S(A,B) and K (A,B). Further, we  prove subordination relation for these classes of functions.

In this work, by making use of the principle of subordination, we introduce a certain subclass of non-Bazilevic analytic functions defined by linear operator. Such results as subordination and superordination, sandwich theorem and inequality properties are given.

The main objective of this study is to generalise a differential operator. This generalised differential operator reduces to many known operators studied by various authors. New subclasses containing generalisation of differential operator are introduced. Characterisation and other properties of these subclasses are given.

In this paper, we introduce and investigate a new subclass of the function class Σ of bi-univalent functions of the Fox-Wright function type in the open unit disk U. We estimate the coefficients |a2| and |a3| for the newly subclass of
functions.

In the present article, our goal is finding estimates on the
Taylor-Maclaurin coefficients |a2| and |a3| for a new class of bi-univalent
functions defined by means of the Horadam polynomials. Fekete-Szeg¨o
inequalities of functions belonging to this subclass are also founded.

The simultaneous effect of flexible wall and multiple stenoses on the flow and mass transfer of blood is investigated through numerical computation and simulations. The solution is obtained using the Marker and Cell technique on an axisymmetric model of Newtonian blood flow. The results compare favorably with physical observations where the pulsatile boundary condition and double stenoses result in a higher pressure drop across the stenoses. The streamlines, the iso-concentration lines, the Sherwood number, and the mass concentration variations along the entire wall segment provide a comprehensive analysis of the mass transport characteristics. The double stenoses and pulsatile inlet conditions increase the number of recirculation regions and effect a higher mass transfer rate at the throat, whereby more mass is expected to accumulate and cause further stenosis.