doi:10.24996/ijs.2021.62.4.23

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Publication Date

Fri Apr 30 2021

Journal Name

Iraqi Journal Of Science

Volume

62

Issue Number

4

DOI

10.24996/ijs.2021.62.4.23

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A study on Soft Pre-Open Sets using γ Operation

soft γ regular space

soft γ pre open

strong soft γ pre closure

locally strong soft γ pre closed

soft open

Jamil Mahmoud

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The concept of strong soft pre-open set was initiated by Biswas and Parsanann.We utilize this notion to study several characterizations and properties of this set. We investigate the relationships between this set and other types of soft open sets. Moreover, the properties of the strong soft pre-interior and closure are discussed. Furthermore, we define a new concept by using strong soft pre-closed that we denote as locally strong soft pre-closed, in which several results are obtained. We establish a new type of soft pre-open set, namely soft pre-open. Also, we continue to study pre- soft open set and discuss the relationships among all these sets. Some counter examples are given to show some relationships obtained in this work.

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Publication Date

Mon Sep 16 2019

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Filter Bases and j-Ï‰-Perfect Mappings

: Filter base

j-Ï‰-closure converge

almost j-Ï‰-converges

almost j-Ï‰-cluster

j-Ï‰-rigid a set

j-Ï‰-perfect mappings. Math Subject Classification 2010: 54C05

54C08

54C10.

G.

Y. Y.

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This paper consist some new generalizations of some definitions such: j-Ï‰-closure converge to a point, j-Ï‰-closure directed toward a set, almost j-Ï‰-converges to a set, almost j-Ï‰-cluster point, a set j-Ï‰-H-closed relative, j-Ï‰-closure continuous mappings, j-Ï‰-weakly continuous mappings, j-Ï‰-compact mappings, j-Ï‰-rigid a set, almost j-Ï‰-closed mappings and j-Ï‰-perfect mappings. Also, we prove several results concerning it, where j ÃŽ{q, Î´,a, pre, b, b}.

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Publication Date

Sun Oct 01 2023

Journal Name

Baghdad Science Journal

Best Proximity Point Theorem for α ̃–ψ ̃-Contractive Type Mapping in Fuzzy Normed Space

Best proximity point

Fuzzy normed space

α ̃- Proximal admissible mapping

α ̃–ψ ̃-Proximal contractive mapping

α ̃–ϕ ̃-Proximal contractive

Raghad I.

Buthainah A. A.

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The best proximity point is a generalization of a fixed point that is beneficial when the contraction map is not a self-map. On other hand, best approximation theorems offer an approximate solution to the fixed point equation . It is used to solve the problem in order to come up with a good approximation. This paper's main purpose is to introduce new types of proximal contraction for nonself mappings in fuzzy normed space and then proved the best proximity point theorem for these mappings. At first, the definition of fuzzy normed space is given. Then the notions of the best proximity point and - proximal admissible in the context of fuzzy normed space are presented. The notion of α ̃–ψ ̃- proximal contractive mapping is introduced.

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(1)

Publication Date

Sun Oct 28 2018

Journal Name

Journal Of Planner And Development

أثر المعالم في الفضاء الحضري المعالم (الأبنية) كنواة لتنظيم الفضاء الحضري

االمعالم- المعالم (الابنية)- الفضاء الحضري- المستوى الموضعي- المستوى الشمولي(.

(Landmarks-(building) Landmarks-organization-urban space-local level-total level).

احمد هاشم

مهيمن باسم

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Publication Date

Wed Jun 26 2019

Journal Name

Iraqi Journal Of Science

Fixed Point Theorems of Fuzzy T*-Cone Metric Space and Their Integral Type Application

Fuzzy T*-cone metric space

Fuzzy-complete

Fuzzy-continuous

Fuzzy-sequentially convergent

fixed point with application of integral type

Sarim H.

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The objective of this work is to study the concept of a fuzzy -cone metric space And some related definitions in space. Also, we discuss some new results of fixed point theorems. Finally, we apply the theory of fixed point achieved in the research on an integral type.

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Publication Date

Mon Apr 24 2017

Journal Name

Ibn Al-haitham Journal For Pure And Applied Sciences

Some Coincidence and Common Fixed Point Theorems for Two Self Mappings under Generalized Contractive Condition in Cone-b- Metric Space

Coincidence and common fixed point

pair of weakly compatible mappings

generalized contractive self mapping

Cone-b- metric space

normal Cone

non-normal Cone.

Tamara Sh.

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In this paper, we prove some coincidence and common fixed point theorems for a pair of discontinuous weakly compatible self mappings satisfying generalized contractive condition in the setting of Cone-b- metric space under assumption that the Cone which is used is nonnormal. Our results are generalizations of some recent results.

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Publication Date

Tue Jan 30 2024

Journal Name

Iraqi Journal Of Science

The L^P-spaces of functions from the n-dimensional real space to the N-dimensional quaternionic space

Hamiltonian skew field of quaternions

Quaternion N-vectors

Quaternion-valued functions

L^p (R^n

H^N ) spaces

L^∞ (R^n

H^N ) space

Hussien A. H.

Mohammed Kh.

Khaldoun S.

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In this paper, we introduce new definitions of the - spaces namely the - spaces Here, and are natural numbers that are not necessarily equal, such that . The space refers to the n-dimensional Euclidean space, refers to the quaternions set and refers to the N-dimensional quaternionic space. Furthermore, we establish and prove some properties of their elements. These elements are quaternion-valued N-vector functions defined on , and the spaces have never been introduced in this way before.

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Publication Date

Mon Feb 01 2021

Journal Name

University Of Baghdad, College Of Education For Pure Sciences / Ibn Al-haitham, Department Of Mathematics

Some Generalizations by Covering properties

S^(M* )- irresolte

αS^(M* )- continuous

R S^(M* )- continuous

simply paracompact spaces

SS^M- compact space based on SS^M- filter

SS^M- maximal filter.

SARA NOORI

Y. Y.

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In this thesis, we introduced the simply* compact spaces which are defined over simply* open set, and study relation between the simply* separation axioms and the compactness were studied and study a new types of functions known as αS^(M* )- irresolte , αS^(M* )- continuous and R S^(M* )- continuous, which are defined between two topological spaces. On the other hand we use the class of soft simply open set to define a new types of separation axioms in soft topological spaces and we introduce the concept of soft simply compactness and study it. We explain and discuss some new concepts in soft topological spaces such as soft simply separated, soft simply disjoint, soft simply division, soft simply limit point and we define soft simply c

Publication Date

Wed Mar 10 2021

Journal Name

Baghdad Science Journal

Some Types of Mappings in Bitopological Spaces

Keywords. Filter base

nm- j-ω-converges

nm- j-ω-directed toward a set

nm- j-ω- closed mappings

j-ω- continuous mappings

j-ω-rigid a set

nm- j-ω-perfect mappings.

G. S.

Yousif

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This work, introduces some concepts in bitopological spaces, which are nm-j-ω-converges to a subset, nm-j-ω-directed toward a set, nm-j-ω-closed mappings, nm-j-ω-rigid set, and nm-j-ω-continuous mappings. The mainline idea in this paper is nm-j-ω-perfect mappings in bitopological spaces such that n = 1,2 and m =1,2 n ≠ m. Characterizations concerning these concepts and several theorems are studied, where j = q , δ, a , pre, b, b.

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(3)

Publication Date

Sun Feb 02 2020

Journal Name

University Of Baghdad, College Of Education For Pure Sciences / Ibn Al-haitham, Department Of Mathematics

Some Types of Perfect Mappings

j-perfect mappings

j-ω-perfect mappings

-ω-perfect mappings

weakly -ω-perfect mappings

strongly-ω-perfect mappings

nm- j-ω-converges to a subset

nm- j-ω-directed toward a set

nm- j-ω-closed mappings

nm- j-ω-rigid set

nm- j-ω-continuous mappings

nm- j-ω-perfect mappings in bitopological.

GHIDAA SADOON

Y. Y.

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The aims of this thesis are to study the topological space; we introduce a new kind of perfect mappings, namely j-perfect mappings and j-ω-perfect mappings. Furthermore, we devoted to study the relationship between j-perfect mappings and j-ω-perfect mappings. Finally, certain theorems and characterization concerning these concepts are studied. On the other hand, we studied weakly/ strongly forms of ω-perfect mappings, namely -ω-perfect mappings, weakly -ω-perfect mappings and strongly-ω-perfect mappings; also, we investigate their fundamental properties. We devoted to study the relationship between weakly -ω-perfect mappings and strongly -ω-perfect mappings. As well as, some new generalizations of some definitions wh

Publication Date

Sat Sep 01 2018

Journal Name

Polyhedron

Novel dichloro (bis {2-[1-(4-methylphenyl)-1H-1, 2, 3-triazol-4-yl-κN3] pyridine-κN}) metal (II) coordination compounds of seven transition metals (Mn, Fe, Co, Ni, Cu, Zn and Cd)

The 1

3-dipolar cycloaddition “click” reaction between an azide and an alkyne to give a 1

2

3-triazole was reported by Huisgen in 1961 [1]. In 2002 the Copper(I)-catalyzed Azide-Alkyne Cycloaddition (CuAAC) to prepare a 1

2

3-triazole was reported [2]

[3]. The existence of relatively basic nitrogen atoms in the 1

2

3-triazole rings

and the possibility of introducing additional donor groups in the substituents (Fig. 1)

made the CuAAC “click” reaction an attractive method to prepare differently substituted 1

2

3-triazoles. These compounds have been used as ligands to coordinate to various metal ions that display a range of applications such as in electrochemical and photochemical studies

in supramolecular chemistry

magnetism

metal-ion sensing and catalysis [4]. The reasons for the success of the “click” reaction

is that it is easy to carry out and is widely applicable. It is not affected by a variety of functional groups

and can be carried out with a variety of Cu(I) catalysts and solvents

including aqueous conditions. The Cu(I) catalysts overcome the high activation energy barrier of the non-catalyzed Huisgen reaction by changing the mechanism of the reaction. A large variety of copper catalysts can be used for the CuAAC reaction

on condition that the maximum concentration of Cu(I) species is generated during the reaction. The pre-catalyst can be a Cu(II) salt (usually CuSO4) together with a reducing agent (often sodium ascorbate) or a Cu(I) compound in the presence of a base or amine ligand and a reducing agent to prevent oxidation to Cu(II). Some strong oxidising cupric salts or complexes such as Cu(OAc)2 also work. The solvent is very flexible from organic to aqueous

with the most commonly used combination water + an alcohol (t-BuOH

MeOH or EtOH). The key role of the solvent or solvent mixture is to solubilize the substrates and Cu(I) catalyst in order to ensure rapid reactions. Such aqueous conditions are very useful for biochemical conjugations

as well as for organic syntheses. We recently reported on the synthesis of a series of differently substituted 1

2

3-triazole chromophores

the substituted 2-(1-phenyl-1H-1

2

3-triazol-4-yl)pyridine ligands [5]

see Fig. 2 middle

with substituents R = H (L1)

CH3 (L2)

OCH3 (L3)

COOH

F

Cl

CN

CF3

O(CH2)3CH3 and N(CH3)2. These versatile ligands were found to coordinate to various first row transition metals

such as manganese

cobalt and nickel [6]. Here we extend the series to include more first row transition metal(II) coordination compounds

iron

copper and zinc

as well as a second row transition metal(II) coordination compound

cadmium

containing the 2-(1-(4-methyl-phenyl)-1H-1

2

3-triazol-1-yl)pyridine chromophore (Fig. 2 right with R = CH3). This series of seven novel coordination compounds is the first series of pyridyl-triazole based transition metal coordination compounds where seven different transition metals are coordinated to the same 1

2

3-triazole chromophore

namely 2-(1-(4-methyl-phenyl)-1H-1

2

3-triazol-1-yl)pyridine.

Kinaan M

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