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Zbl 0988.49004
Ansari, Q.H.; Konnov, I.V.; Yao, J.C.
Existence of a solution and variational principles for vector equilibrium problems. (English)
[J] J. Optimization Theory Appl. 110, No.3, 481-492 (2001). ISSN 0022-3239; ISSN 1573-2878/e

Summary: In this paper, we prove an existence result for a solution to the vector equilibrium problems. Then, we establish variational principles, that is, vector optimization formulations of set-valued maps for vector equilibrium problems. A perturbation function is involved in our variational principles. We prove also that the solution sets of our vector optimization problems of set-valued maps contain or coincide with the solution sets of vector equilibrium problems.

MSC 2000:: *49J40 Variational methods including variational inequalities
49J53 Set-valued and variational analysis

Keywords: vector equilibrium problems; variational principles; vector optimization; set-valued maps

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Zentralblatt MATH Berlin [Germany]