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Two fixed point theorems in generalized metric spaces
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<p>In this paper, we prove there exists a coupled fixed point for a set- valued contraction mapping defined on X× X , where X is incomplete ordered G-metric. Also, we prove the existence of a unique fixed point for single valued mapping with respect to implicit condition defined on a complete G- metric.</p>

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Publication Date
Tue Oct 20 2020
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Fuzzy Semi Pre Homeomorphism in Fuzzy Topological Spaces
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   The aim of this paper is to introduce and study new class of fuzzy function called fuzzy semi pre homeomorphism in a fuzzy topological space by utilizing fuzzy semi pre-open sets. Therefore, some of their characterization has been proved; In addition to that we define, study and develop corresponding to new class of fuzzy semi pre homeomorphism in fuzzy topological spaces using this new class of functions.

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Publication Date
Thu Apr 28 2022
Journal Name
Iraqi Journal Of Science
ON SN-SPACES
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The aim of this paper is to introduce and study the concept of SN-spaces via the notation of simply-open sets as well as to investigate their relationship to other topological spaces and give some of its properties.

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Publication Date
Wed Jul 01 2020
Journal Name
Journal Of Physics: Conference Series
Soft Closure Spaces
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Abstract<p>In this paper, the concept of soft closure spaces is defined and studied its basic properties. We show that the concept soft closure spaces are a generalization to the concept of <italic>Č</italic>ech soft closure spaces introduced by Krishnaveni and Sekar. In addition, the concepts of subspaces and product spaces are extended to soft closure spaces and discussed some of their properties.</p>
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Publication Date
Thu Dec 29 2016
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
L- compact Spaces
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  The purpose of this paper is to study a new types of compactness in bitopological spaces. We shall introduce the concepts of  L- compactness.

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Publication Date
Wed Aug 31 2022
Journal Name
Iraqi Journal Of Science
Generalized Commuting Mapping in Prime and Semiprime Rings
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     Let R be an associative ring. The essential purpose of the present paper is to introduce the concept of generalized commuting mapping of R. Let U be a non-empty subset of R, a mapping   : R  R is called a generalized commuting mapping on U if there exist a mapping :R R such that =0, holds for all U. Some results concerning the new concept are presented.

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Publication Date
Thu Nov 29 2018
Journal Name
Iraqi Journal Of Science
On Soft LC-Spaces and Weak Forms of Soft LC-Spaces
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The main purpose of this article is to study the soft LC-spaces as soft spaces in which every soft Lindelöf subset of  is soft closed. Also, we study the weak  forms of soft LC-spaces and we discussed their relationships with soft LC-spaces as well as among themselves.

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Publication Date
Wed Apr 25 2018
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Quasi-inner product spaces of quasi-Sobolev spaces and their completeness
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      Sequences spaces  , m  ,  p  have called quasi-Sobolev spaces were  introduced   by Jawad . K. Al-Delfi in 2013  [1]. In this  paper , we deal with notion of  quasi-inner product  space  by using concept of  quasi-normed  space which is generalized  to normed space and given a  relationship  between  pre-Hilbert space and a  quasi-inner product space with important  results   and   examples.  Completeness properties in quasi-inner   product space gives  us  concept of  quasi-Hilbert space .  We show  that ,  not  all  quasi-Sobolev spa

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Publication Date
Sat Jan 01 2011
Journal Name
Journal Of Computer Sciences
Connectedness in Graphs and Gm-Closure Spaces
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This paper is devoted to the discussion the relationships of connectedness between some types of graphs (resp. digraph) and Gm-closure spaces by using graph closure operators.

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Publication Date
Sat May 01 2021
Journal Name
Journal Of Physics: Conference Series
Paths and Cycles in Alpha Topological Spaces
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Abstract<p>This paper presents the concepts of prepaths, paths, and cycles in α-topological spaces and studies them in orderable spaces. Also, many relationships are proved with their equivalences using some properties in topological spaces like compactness and locally connectedness.</p>
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Publication Date
Thu May 25 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Some Types of Compactness in Bitopological Spaces
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  In this paper, we give the concept of N-open set in bitopological spaces, where N is the first letter of the name of one of the authors, then we used this concept to define a new kind of compactness, namely N-compactness and we define the N-continuous function in bitopological spaces.         We study some properties of N-compact spaces, and the relationships between this kind and two other known kinds which are S-compactness and pair-wise compactness.

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