A solution method for linear variational relation problems |
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Authors: | Anulekha Dhara Dinh The Luc |
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Affiliation: | 1. Department of Mathematics, Indian Institute of Technology, Gandhinagar, India 2. Département de Mathématiques, Université d’Avignon et des Pays du Vaucluse, Avignon, France
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Abstract: | In this paper, we consider a particular class of variational relation problem namely linear variational relation problem wherein the sets are defined by linear inequalities. The purpose is to study the existence of the solution set and its nature for this class of problem. Using these results, we provide algorithms to obtain the solutions of the problem based on which we present some numerical illustrations. |
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