On The Normality Set of Linear Operators

في هذا البحث، سنحاول تعريف المجموعة السوية من النوع  ودراستها. ثم ستسلط الدراسة الضوء على بعض الخصائص والمفاهيم والنتائج المهة. بالأضافة لذلك، سنحاول أثبات انهُ لكل مؤثر محتوى في المجموعة السوية يملك فضاء جزئي لامتغير غير تافه من .            In this paper, the Normality set  will be investigated. Then, the study highlights some concepts properties and important results. In addition, it will prove that every operator with normality set has non trivial invariant subspace of  . &nbsp

Some Properties of Fuzzy Neutrosophic Generalized Semi Continuous Mapping and Alpha Generalized Continuous Mapping

    في هذا البحث عرفنا الدوال شبه المستمرة المعممة النيتروسوفك الضبابية والدوال آلفا المستمرة المعممة نيتروسوفك الضبابية, وإثبات بعض المبرهنات المتعلقة بهذا المفهوم ومن ثم إيجاد العلاقة بين الدوال آلفا المستمرة المعممة نيتروسوفك الضبابية. والتي تضمنت الدوال المستمرة نيتروسوفك الضبابية والدوال آلفا المستمرة نيتروسوفك الضبابية والدوال شبه المستمرة نيتروسوفك الضبابية والدوال Pre المستمرة نيتروسوفك الضبابية ودوال γ المستمرة نيتروسوفك الضبابية. In the current study, the definition of mapping of fuzzy neutrosophic generalized semi-continuous and fuzzy neutrosophic alpha has generalized mapping as continuous. The study confirmed some theorems regarding such a concept. In the following, it has been found relationships among fuzzy neutrosophic alpha generalized mapping as continuous, fuzzy neutrosophic mapping as continuous, fuzzy neutrosophic alpha mapping as continuous, fuzzy neutrosophic generalized semi mapping as continuous, fuzzy neutrosophic pre mapping as continuous and fuzzy neutrosophic γ mapping as continuous

Fuzzy Neutrosophic Weakly-Generalized Closed Sets in Fuzzy Neutrosophic Topological Spaces

In this paper, we will define a new class of sets, called fuzzy neutrosophic weakly- generalized closed sets, then we proved some theorems related to this definition. After that, we studied some relations between fuzzy neutrosophic weakly-generalized closed sets and fuzzy neutrosophic α closed sets, fuzzy neutrosophic closed sets, fuzzy neutrosophic regular closed sets, fuzzy neutrosophic pre closed sets and fuzzy neutrosophic semi closed sets

Fuzzy Neutrosophic Weakly-Generalized Closed Sets in Fuzzy Neutrosophic Topological Spaces

In this paper, we will define a new class of sets, called fuzzy neutrosophic weakly- generalized closed sets, then we proved some theorems related to this definition. After that, we studied some relations between fuzzy neutrosophic weakly-generalized closed sets and fuzzy neutrosophic α closed sets, fuzzy neutrosophic closed sets, fuzzy neutrosophic regular closed sets, fuzzy neutrosophic pre closed sets and fuzzy neutrosophic semi closed sets

(A-n) – Potent Operators on Hilbert Space

This paper introduced a new class of operators called (A-n)-potent operator on a complex Hilbert space  . An operator    is called (A-n)-potent operator if where  is a positive integer greater than or equal to 2. Some basic properties of such operators were also investigated; the relationship between (A-n)-potent operators and some kinds of operators was also established

Fredholm integral equation in composed-cone metric spaces

Abstract The current paper introduces a novel generalization of cone metric spaces called type I and type II composed cone metric spaces. Therefore, examples of a type I and type II composed cone metric space, which is not a cone metric space, are given. We establish some results of fixed point precisely about Hardy–Rogers type contraction on C2CMS and provide examples. Finally, we present an application of our results and how our results solve the Fredholm integral equation of generalizing several existing and unique fixed point theorems