Vector Ekeland’s variational principle in an F-type topological space
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In this paper, we first give a vector-valued version of Brézis and Browder’s scalar general principle. We then apply the vector-valued general principle to study a vector Ekeland’s variational principle in a F-type topological space, which unifies and improves the corresponding vector-valued Ekeland’s variational results in complete metric space.
KeywordsVector Ekeland’s Variational Principle F-type topological space Cauchy sequence
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- Hamel A (2001) Equivalents to Ekeland’s variational principle in F-type topological spaces. Report of the Institute of Optimization and Stochastic, Martin-Luther-University Halle-Wittenberg, Department of Mathematics and Computer ScienceGoogle Scholar
- Isac G (1996) The Ekeland principle and the Pareto ε-efficiency. In: Tamig M (eds) Multiobjective Programming and Goal Programming, theory and applications. Lecture notes in economics and mathematical systems, vol 432. Springer, Berlin, pp 148–163Google Scholar
- Li SJ, Yang XQ, Chen GY (2000) Vector Ekeland variational principle. In: Giannessi F (eds) Vector varational inequalities and vector equilibria. Nonconvex optimization and its applications, vol 38. Kluwer, Dordrecht, pp 321–333Google Scholar