On the weak form of Ekeland s Variational Principle in quasi-metric spaces

[EN] We show that a quasi-metric space is right K-sequentially complete if and only if it satisfies the property of the weak form of Eke land's Variational Principle. This result solves a question raised by S. Cobzas (2011) [3]. (C) 2015 Elsevier B.V. All rights reserved.The authors are very grateful to the referee for a careful reading of the paper and several useful suggestions and comments which allowed a substantial improvement of the first version. Salvador Romaguera acknowledges the support of the Ministry of Economy and Competitiveness of Spain, Grant MTM2012-37894-C02-01Karapinar, E.; Romaguera Bonilla, S. (2015). On the weak form of Ekeland s Variational Principle in quasi-metric spaces. Topology and its Applications. 184:54-60. doi:10.1016/j.topol.2015.01.011S546018