Filomat 2015 Volume 29, Issue 9, Pages: 2097-2105
https://doi.org/10.2298/FIL1509097F
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On the convexity of the solution set of symmetric vector equilibrium problems
Farajzadeh A.P. (Razi University, Department of Mathematics, Kermanshah, Iran)
In this paper, without assumption of monotonicity and boundedness, we study
existence results for a solution and the convexity of the solution set to the
symmetric vector equilibrium problem for setvalued mappings in the setting of
topological vector spaces. Our results improve the corresponding results in
[9, 18, 19, 22, 28, 33, 36, 37].
Keywords: Symmetric vector equilibrium problem, convexity, connectedness, path-connectedness, KKM map