Generalized vector quasi-equilibrium problems with applications
نویسندگان
چکیده
منابع مشابه
Some existence results for generalized vector quasi-equilibrium problems
In this paper, we introduce and study a class of generalized vector quasi-equilibrium problem, which includes many vector equilibrium problems, equilibrium problems, vector variational inequalities and variational inequalities as special cases. Using one person game theorems, the concept of escaping sequences and without convexity assumptions, we prove some existence results for ...
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and Applied Analysis 3 Example 8. LetX = Z = R, Y = R, and E = F = [0, +∞) ⊂ X and let G,C : E → 2, e : E → Y define as G (u) = {(U, V) : U − u ≤ V ≤ u − U, 0 ≤ U ≤ u} , ∀u ∈ F, C (x) = {(U, V) : 0 ≤ V ≤ ( 3 2 + x)U,U ≥ 0} , ∀x ∈ E, e (x) = (1, 1) , ∀x ∈ E, (7) respectively. We can see that ξ G (x, u) = (1 + (2/(1 + 2x)))u. Definition 9. LetD ⊂ Y be a cone,H : F → 2, and ς : F → R. ς is calledm...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2003
ISSN: 0022-247X
DOI: 10.1016/s0022-247x(02)00535-8