Professor
prof Mohammed Suwaiqat
- Faculty Member
THE CONVERGENCE OF Ε – SOLUTIONS IN TERMS OF EPIGRAPHICAL DISTANCE
JOURNAL OF INTERNATIONAL ACADEMIC RESEARCH FOR MULTIDISCIPLINARY / 3 - April - 2016
The purpose of this paper is to investigate the set of ε − optimal solutions to optimization problems from a metrical point of view, and generalize some results in literature that are dealing from a topological point of view. Precisely, we show that the sequence ( ) n f is epigraphical distance convergent to f if and only if for each ε > 0 , the sequence of sets (ε −arg min f n ) is epigraphical distance convergent to (ε −arg min f ) . An analogous result holds for ε − subdifferentials of convex lower semi-continuous functions defined on a Banch space and also for ε − projctions of a point to convex closed subset in X .
Download FileSchwartz Space and Differentiability of Fourier Transform
International Journal of Novel Research in Physics Chemistry & Mathematics / 1 - December - 2016
One of the reasons that the Fourier transform is so useful is that it converts operations on function f in to different operations on the function ˆ f . In this paper we discuss some properties of differentiability of Fourier transform and we generalize the results that are stated by many other authors, and we give some propriety in Schwartz's space S using the main result. Mathematics Subject Classification. 43A15, 43A32, 43A62.
Download FileTHE RECOGNITION SYSTEM OF SICKLE CELL ANEMIA BY USING HIDDEN MARKOV MODEL
International Journal of Development Research / 8 - March - 2017
The study of genetic mutations, that is responsible for diseases , is an important issue in genetics for its close relationship with the genetic evolution of living organisms , In this paper we present an algorithm that is bases on the Hidden Markov Models of recognition to the mutation that causes one of the most common genetic diseases, Sickle Cell disease, thus diagnoses the person state (infected, uninfected) , This method is applied to DNA sequence , Deoxyribonucleic acid, the practical application shows that the rate of recognition of an infected person equals (99%) and the rate of recognition of a healthy person equals (86.33%) ,All the code is written by using statistical program R.
ON THE CONVERGENCE OF SEQUENCES OF THE MOREAU-YOSIDA FUNCTION WITH TOW VARIABLES IN THE REFLIXIVE BANACH SPACES
International Journal of Novel Research in Physics Chemistry & Mathematics / 13 - February - 2018
The aim of this paper is to study and generalize some results and properties with the Moreau-Yosida function of one variable for convex functions
THE CONVERGENCE OF Ε–SOLUTIONS IN TERMS OF EPIGRAPHICAL DISTANCE
JOURNAL OF INTERNATIONAL ACADEMIC RESEARCH FOR MULTIDISCIPLINARY / 14 - December - 2016
Regularization in Banach Spaces with Respect to the Bregman Distance
Journal of Optimization Theory and Applications / 28 - March - 2020
The Moreau envelope, also known as Moreau–Yosida regularization, and the associated proximal mapping have been widely used in Hilbert and Banach spaces. They have been objects of great interest for optimizers since their conception more than half a century ago. They were generalized by the notion of the D-Moreau envelope and D-proximal mapping by replacing the usual square of the Euclidean distance with the conception of Bregman distance for a convex function
On the Symbolic 2-Plithogenic Weak Fuzzy Complex Numbers
Neutrosophic Sets and Systems / 25 - March - 2024
The goal of this paper is to define for the first time the concept of symbolic 2-plithogenic weak fuzzy complex number as new generalization generated by combining real numbers with symbolic 2-plithogenic numbers. We study the elementary properties of this new class such as Invertibility and nilpotency, with many related examples that explain its novelty
Download FileOn The Algebraic Properties of Symbolic 6-Plithogenic Integrs
Neutrosophic Sets and Systems / 11 - January - 2024
This paper is dedicated to study the properties of symbolic 6-plithogenic integers and number theory, where we present many numbers theoretical concepts such as symbolic 6-plithogenic congruencies, symbolic 6-plithogenic Diophantine equations, and symbolic 6-plithogenic Euler's function with Euclidean division. Also, we present many examples to explain the validity and the scientific contribution of our work.
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