Strong Convergence of Iteration Processes for Infinite Family of General Extended Mappings
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Publication Date
Mon Apr 01 2013
Journal Name
Journal Of Mathematical Analysis And Applications
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Publication Date
Mon Feb 01 2021
Journal Name
Journal Of Physics: Conference Series
The Convergence of Iterative Methods for Quasi δ-Contraction Mappings
Abstract<p>In this article, we will present a quasi-contraction mapping approach for D iteration, and we will prove that this iteration with modified SP iteration has the same convergence rate. At the other hand, we prove that the D iteration approach for quasi-contraction maps is faster than certain current leading iteration methods such as, Mann and Ishikawa. We are giving a numerical example, too.</p>
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Publication Date
Mon Mar 01 2021
Journal Name
Journal Of Physics: Conference Series
Some Theorems of Fixed Point Approximations By Iteration Processes
Abstract<p>The purpose of this paper, is to study different iterations algorithms types three_steps called, new iteration, <italic>M</italic>
<sup>∗</sup> −iteration, <italic>k</italic> −iteration, and Noor-iteration, for approximation of fixed points. We show that the new iteration process is faster than the existing leading iteration processes like <italic>M</italic>
<sup>∗</sup> −iteration, <italic>k</italic> −iteration, and Noor-iteration process, for like contraction mappings. We support our analytic proof with a numerical example.</p>
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Publication Date
Wed Jul 01 2020
Journal Name
Journal Of Physics: Conference Series
A New Iterative Methods For a Family of Asymptotically Severe Mappings
Abstract<p>The aim of this paper is to introduce the concepts of asymptotically p-contractive and asymptotically severe accretive mappings. Also, we give an iterative methods (two step-three step) for finite family of asymptotically p-contractive and asymptotically severe accretive mappings to solve types of equations.</p>
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Publication Date
Wed Mar 01 2023
Journal Name
Baghdad Science Journal
Existence of Fixed Points for Expansive Mappings in Complete Strong Altering JS-metric space
Altering distance
b-metric space
Dislocated metric space
Expansive mapping
Fixed points
Strong Altering JS-metric
The paper aims at initiating and exploring the concept of extended metric known as the Strong Altering JS-metric, a stronger version of the Altering JS-metric. The interrelation of Strong Altering JS-metric with the b-metric and dislocated metric has been analyzed and some examples have been provided. Certain theorems on fixed points for expansive self-mappings in the setting of complete Strong Altering JS-metric space have also been discussed.
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Publication Date
Mon Jul 01 2019
Journal Name
Iop Conference Series: Materials Science And Engineering
Proximal schemes by family of szl –widering mappings
Abstract<p>in this paper, we give a concept of <italic>szl</italic> –widering mapping which is independent of nonspreading mappings, <italic>k</italic> – strictly pseudo nonspring mappings and nonexpansive mappings. Also we introduce a new proximal point schemes of resolvent and <italic>szl</italic> –widering mappings. On the other hand, we discuss that the weak and strong convergence for these proximal point schemes in real Hilbert space under different conditions to asymptotic common fixed point of <italic>szl</italic> –widering mappings.</p>
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Publication Date
Sat May 01 2021
Journal Name
Journal Of Physics: Conference Series
Equivalence of Some Iterations for Class of Quasi Contractive Mappings
Abstract<p>In this article, we recalled different types of iterations as Mann, Ishikawa, Noor, CR-iteration and, Modified SP_iteration of quasi δ-contraction mappings, and we proved that all these iterations equivalent to approximate fixed points of δ-contraction mappings in Banach spaces.</p>
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Publication Date
Thu Sep 30 2010
Journal Name
Iraqi Journal Of Chemical And Petroleum Engineering
PREDICTION OF FINITE CONCENTRATIONBEHAVIOR FROM INFINITE DILUTION EGUILIBRIUM DATA
Experimental activity coefficients at infinite dilution are particularly useful for calculating the parameters needed in an expression for the excess Gibbs energy. If reliable values of γ∞1 and γ∞2 are available, either from direct experiment or from a correlation, it is possible to predict the composition of the azeotrope and vapor-liquid equilibrium over the entire range of composition. These can be used to evaluate two adjustable constants in any desired expression for G E. In this study MOSCED model and SPACE model are two different methods were used to calculate γ∞1 and γ∞2
Publication Date
Mon Jan 01 2007
Journal Name
Journal Of Al-nahrain University
Applications Of Strong-Lensing For Some Gravitational Lenses
In our work present, the application of strong-Lensing observations for some gravitational lenses have been adopted to study the geometry of the universe and to explain the physics and the size of the quasars. The first procedure was to study the geometrical of the Lensing system to determine the relation between the redshift of the gravitational observations with its distances. The second procedure was to compare between the angular diameter distances "DA" calculated from the Euclidean case with that from the Freedman models, then evaluating the diameter of the system lens. The results concluded that the phenomena are restricted to the ratio of distance between lens and source with the diameter of the lens noticing.
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.
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
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