Admissible Perturbation of Demicontractive Operators within Ant Algorithms for Medical Images Edge Detection

Nowadays, demicontractive operators in terms of admissible perturbation are used to solve difficult tasks. The current research uses several demicontractive operators in order to enhance the quality of the edge detection results when using ant-based algorithms. Two new operators are introduced, χ -operator and K H -operator, the latter one is a Krasnoselskij admissible perturbation of a demicontractive operator. In order to test the efficiency of the new operators, a comparison is made with a trigonometric operator. Ant Colony Optimization (ACO) is the solver chosen for the images edge detection problem. Demicontractive operators in terms of admissible perturbation are used during the construction phase of the matrix of ants artificial pheromone, namely the edge information of an image. The conclusions of statistical analysis on the results shows a positive influence of proposed operators for image edge detection of medical images.

New ant colony optimization algorithm in medical images edge detection

In this paper we aim to use a demicontractive operator in terms of admissible perturbations in an ant colony optimization (ACO) algorithm for edge detection of medical images. Two admissible perturbations are used. Practical results are presented. Comparison with results using different operators are made.

Approximating fixed points of asymptotically demicontractive mappings by iterative schemes defined as admissible perturbations

We establish convergence theorems for a Krasnoselskij type fixed point iterative method constructed as the admissible perturbation of an asymptotically demicontractive operator defined on a convex closed subset of a Hilbert space.

Approximating fixed points of demicontractive mappings by iterative methods defined as admissible perturbations

The aim of this paper is to prove some convergence theorems for a general Krasnoselskij type fixed point iterative method defined by means of the concept of admissible perturbation of a demicontractive operator in Hilbert spaces.

Approximating fixed points of demicontractive mappings by iterative methods defined as admissible perturbations

The aim of this paper is to prove some convergence theorems for a general Krasnoselskij type fixed point iterative method defined by means of the concept of admissible perturbation of a demicontractive operator in Hilbert spaces.