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In this paper, the concept of contraction mapping on a -metric space is extended with a consideration on local contraction. As a result, two fixed point theorems were proved for contraction on a closed ball in a complete -metric space.
This paper investigates the concept (α, β) derivation on semiring and extend a few results of this map on prime semiring. We establish the commutativity of prime semiring and investigate when (α, β) derivation becomes zero.
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The main purpose of this paper is to study feebly open and feebly closed mappings and we proved several results about that by using some concepts of topological feebly open and feebly closed sets , semi open (- closed ) set , gs-(sg-) closed set and composition of mappings.
The significance of the work is to introduce the new class of open sets, which is said Ǥ- -open set with some of properties. Then clarify how to calculate the boundary area for these sets using the upper and lower approximation and obtain the best accuracy.
Background: Achalasia is an uncommon but not a rare a malady. In Iraq, we lack true statistics about this condition.
Objective: is to review the experience with trans-thoracic modified Heller operation for achalasia cardia in a major thoracic surgical centre in Iraq over a 4-year period.
Study design: a combined retrospective and prospective study.
Setting: Department of Thoracic Surgery in Baghdad Medical City/Baghdad/Iraq.
Methods: This study is both retrospective (20 cases) and prospective (20 cases); the information is collected from either patients, case sheets or obtained directly from patients, interviews. In both situa
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One of ciphering systems depends on transposition of letters in plain text to generate cipher text. The programming of transposition depends mainly on 2-dimension matrix in either methods but the difference is in columnar .We print columns in the matrix according to their numbers in key but in the fixed, the cipher text will be obtained by printing matrix by rows.
The applications of mobile robots in rescue scenarios, surviving to search, and exploration for outdoor navigation have received increasing attention due to their promising prospects. In this paper, a simulation of a differential wheeled mobile robot was presented, implementing a Global Positioning System (GPS) data points to specified starting points, final destination, and total error.
In this work, a simple kinematic controller for polar coordinate trajectory tracking is developed. The tracking between two points, pose to pose, was specified by using the GPS data points. After that, the geodesy (GEO) formulation was used to convert the geodesy coordinate to Euclidean or polar coordinate. The Haversine equation
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