Levitin–Polyak well-posedness of vector equilibrium problems

S. Li () and M. Li ()
Authors registered in the RePEc Author Service: Shuanming Li

Mathematical Methods of Operations Research, 2009, vol. 69, issue 1, 125-140

Abstract: 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. Copyright Springer-Verlag 2009

Keywords: Levitin–Polyak well-posedness; Vector equilibrium problems; Approximating solution sequence; Well-set; Gap function (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:spr:mathme:v:69:y:2009:i:1:p:125-140

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DOI: 10.1007/s00186-008-0214-0

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