LEVITIN-POYAK WELL-POSEDNESS OF EQUILIBRIUM PROBLEMS GENERALIZED VECTOR WITH FUNCTIONAL CONSTRAINTS

doi:10.1016/S0252-9602(10)60132-4

Abstract

CLC Number:

90C29

WANG Gang, HUANG Xue-Xiang, ZHANG Jie, CHEN Guang-Ya. LEVITIN-POYAK WELL-POSEDNESS OF EQUILIBRIUM PROBLEMS GENERALIZED VECTOR WITH FUNCTIONAL CONSTRAINTS[J].Acta mathematica scientia,Series B, 2010, 30(5): 1400-1412.

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References

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[7] Huang X X, Yang X Q. Generalized Levitin-Polyak well-posedness in constrained optimization. SIAM J Optim, 2006, 17: 243--258

[8] Huang X X, Yang X Q. Levitin-Polyak well-posedness of constrained vector optimization problems. J Glob Optim, 2007, 37: 287--304

[9] Huang X X, Yang X Q. Levitin-Polyak well-posedness in generalized variational inequality problemes with functional constraints. J Ind Manag Optim, 2007, 3: 671--684

[10] Kuratowski K. Topology Part I and Part II. New York: Academic Press, 1968

[11] Levitin E S, Polyak B T. Convergence of minimizing sequences in conditional extremum problems. Soviet Math Dokl, 1966, 7: 764--767

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[13] Li S J, Li M H. Levitin-Polyak well-posedness of vector equilibrium problems. Math Methods Oper Res, accepted

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LEVITIN-POYAK WELL-POSEDNESS OF EQUILIBRIUM PROBLEMS GENERALIZED VECTOR WITH FUNCTIONAL CONSTRAINTS

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