In the context of normed space, Banach's fixed point theorem for mapping is studied in this paper. This idea is generalized in Banach's classical fixed-point theory. Fixed point theory explains many situations where maps provide great answers through an amazing combination of mathematical analysis. Picard- Lendell's theorem, Picard's theorem, implicit function theorem, and other results are created by other mathematicians later using this fixed-point theorem. We have come up with ideas that Banach's theorem can be used to easily deduce many well-known fixed-point theorems. Extending the Banach contraction principle to include metric space with modular spaces has been included in some recent research, the aim of study proves some pro

the main of this paper is to give a comprehensive presentation of estimating methods namely maximum likelihood bayes and proposed methods for the parameter

Biological Activity of Complexes of Some Amino Acid

The discussion in this paper gives several theorems and lemmas on the Sums of Squares of  consecutive Carol Numbers. These theorems are proved by using the definition of carol numbers and mathematical induction method. Here the matrix form and the recursive form of sum of squares of  consecutive Carol numbers is also given. The properties of the Carol numbers are also derived.

That the possibility of imposing a tax on electronic commerce is increasing interest in it by governments in developed and developing countries alike, and there is interest in a logical by governments and bodies of taxation, in particular in developing countries erosion potential tax in the tax base resulting from the adoption of e-commerce if not mutation rules and tax legislation, local and international to take into account this important economic developments and how to keep up, said the combination of the taxation system is the only way to increase revenue needed to finance government spending on goods and services needed by society.

The most important conclusions reached by the rese

The housing sector in Iraq has suffered from multiple problems, the most prominent of which is the failure of the housing market to achieve housing production that faces population increases and a high number of households.

The research aims to foresight the future of the housing sector,  and to identify the expectations of experts in the development of the housing sector and housing production, in order to overcome the obstacles and problems.

Foresight does not mean forecasting about future events, but rather it is a process and skill aimed at familiarity with providing sufficient knowledge to achieve the desired future goals, Accordingly, adopting a method of future foresight will reduce error,  surprise and s

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Thermal pyrolysis kinetics of virgin high-density polyethylene (HDPE) was investigated. Thermal pyrolysis of HDPE was performed using a thermogravimetric analyzer in nitrogen atmosphere under non-isothermal conditions at different heating rates 4, 7, 10 °C/min. First-order decomposition reaction was assumed, and for the kinetic analysis Kissinger-Akahira-Sunose(KAS), Flynn-Wall-Ozawa(FWO) and Coats and Redfern(CR) method were used. The obtained values of  average activation energy by the KAS and FWO methods were equal to137.43 and 141.52 kJ/mol respectively, these values were considered in good agreement, where the  average activation energy value obtained by CR equation methods was slightly different which equal to 153.16 kJ/

Gypseous soil is a collapsible soil, which causes large deformations in buildings that are constructed on it. Various methods have been used to minimise this effect, such as replacing the gypseous soil or using soil stabilisation (grouting or soil improvement). This study was carried out on four types of gypseous soils that have different properties and various gypsum contents. The testing was carried out on remoulded samples to evaluate the compressibility of gypseous soil under different conditions. The samples were grouted with acrylate liquid. The relationships between the injection pressure and the radius of flow, between time of injection and radius of flow, and between time and quantity of acrylate liquid are investigated on

Standards of audit have been defined issued them by professional organizations the audit risk is: Failure of the auditor inadvertently to amend his opinion on the financial statements in suitable method, although these statements are Interpolated Essentially. As result the deep impacts caused by electronic operating systems in the accounting data in the audit process which audit risk has gained attention of many professional sides, especially the audit process and quality is relating with level of discovery the auditor for the mistakes of origin (misrepresentations) all their types and give the necessary confidence for the auditor to express his technical opinion in fidelity and certified financial statements which prepared electronicall