On generalized variational inequalities

Abstract

L'objectif de cette recherche est d'examiner les inéquations variationel générale en termes d'existence et l’unicité de solutions, ainsi que la forme classique décrite par VI, qui a été abordée au chapitre deux de cette étude. Le résultat a révélé qu'il existe une solution unique dans des conditions spécifiques. Ensuite, nous développons un algorithme qui dépend de la méthode de projection. Enfin, nous avons proposé un modèle pour GVI. The aim of this research is to examine the General Variational inequalities in terms of existence and uniqueness solution, and also classical form that denoted by VI, which has been discussed in chapter two of this study. The result has revealed that there is an existence and uniqueness solution under specific conditions. Then, we move to build an algorithm that depends on the projection method. Finally, we proposed a model for GVI.

The aim of this research is to examine the General Variational inequalities in terms of existence and uniqueness solution, and also classical form that denoted by VI, which has been discussed in chapter two of this study. The result has revealed that there is an existence and uniqueness solution under specific conditions. Then, we move to build an algorithm that depends on the projection method. Finally, we proposed a model for GVI.

قمنا في هذه الأطروحة بدراسة المسائل التغيراتية العامة، بتقديم شروطا على وجود الحل ووحدانيته، مرورا بالمسائل التغيراتية العادية، وبعد ذلك إنتقلنا إلى تكوين خوارزمية تتقارب بقوة نحو الحل الذي يحقق المتراجحة التغيراتية العامة GVI وفي الأخير قدمنا نموذجا على ذلك