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Zbl 1114.49014
Wan, Anhua; Fu, Junyi; Mao, Weihua
On generalized vector equilibrium problems. (English)
[J] Acta Math. Appl. Sin., Engl. Ser. 22, No. 1, 21-26 (2006). ISSN 0168-9673; ISSN 1618-3932/e

The authors consider a general set-valued vector equilibrium problem in a topological vector space setting. Utilizing the {\it K. Fan} theorem [Math. Ann. 266, 519--537 (1984; Zbl 0515.47029)], they establish several existence results without monotonicity type assumptions. A condition providing convexity of the solution set is also given.
[Igor V. Konnov (Kazan)]

MSC 2000:: *49J40 Variational methods including variational inequalities
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
54C60 Set-valued maps

Keywords: Vector equilibrium problems; Set-valued mappings; Existence results

Citations: Zbl 0515.47029

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