Levitin–Polyak well-posedness of vector equilibrium problems
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In this paper, two types of Levitin–Polyak well-posedness of vector equilibrium problems with variable domination structures are investigated. Criteria and characterizations for two types of Levitin–Polyak well-posedness of vector equilibrium problems are shown. Moreover, by virtue of a gap function for vector equilibrium problems, the equivalent relations between the Levitin–Polyak well-posedness for an optimization problem and the Levitin–Polyak well-posedness for a vector equilibrium problem are obtained.
KeywordsLevitin–Polyak well-posedness Vector equilibrium problems Approximating solution sequence Well-set Gap function
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- Ansari QH (2000) Vector equilibrium problems and vector variational inequalities. In: Giannessi F(eds) Vector variational inequalities and vector equilibria. Mathematical theories. Kluwer, Dordrecht, pp 1–16Google Scholar
- Ferrentino R (2005) Pointwise well-posedness in vector optimization and variational inequalities. Working paper, Department of Economic Sciences and Statistics, University of Salerno-FiscianoGoogle Scholar
- Kuratowski C (1958) Topologie. Panstwowe Wydawnicto Naukowa, Warszawa, vol 1Google Scholar
- Song W (2002) On generalized vector equilibrium problems. Appl Math Lett 12: 53–56Google Scholar