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A primal-dual approach of weak vector equilibrium problems
| Content Provider | Directory of Open Access Journals (DOAJ) |
|---|---|
| Author | László Szilárd |
| Abstract | In this paper we provide some new sufficient conditions that ensure the existence of the solution of a weak vector equilibrium problem in Hausdorff topological vector spaces ordered by a cone. Further, we introduce a dual problem and we provide conditions that assure the solution set of the original problem and its dual coincide. We show that many known problems from the literature can be treated in our primal-dual model. We provide several coercivity conditions in order to obtain the existence of the solution of the primal-dual problems without compactness assumption. We apply the obtained results to perturbed vector equilibrium problems. |
| Related Links | https://doi.org/10.1515/math-2018-0028 |
| e-ISSN | 23915455 |
| DOI | 10.1515/math-2018-0028 |
| Journal | Open Mathematics |
| Issue Number | 1 |
| Volume Number | 16 |
| Language | English |
| Publisher | De Gruyter |
| Publisher Date | 2018-01-01 |
| Publisher Place | Poland |
| Access Restriction | Open |
| Subject Keyword | Mathematics Vector Equilibrium Problem Primal-dual Equilibrium Problem Perturbed Equilibrium Problem 47j20 26b25 90c33 |
| Content Type | Text |
| Resource Type | Article |
