Mixed variational inequalities and economic equilibrium problems
Mixed variational inequalities and economic equilibrium problems
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DOI：
10.1155/s1110757x02106012
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发表时间：
2002-11
影响因子：
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通讯作者：
I. Konnov;E. O. Volotskaya
中科院分区：
文献类型：
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作者：
I. Konnov;E. O. Volotskaya
我们考虑了相当广泛的一般经济均衡问题和寡头均衡问题，它们可以被表述为混合变分不等式问题。这类问题涉及连续映射和凸，但不一定是可微函数。在代价映射的弱p型假设下，给出了解的存在唯一性结果。它们使我们能够为正在考虑的经济均衡问题建立新的结果。
We consider rather broad classes of general economic equilibrium problems and oligopolistic equilibrium problems which can be formulated as mixed variational inequality problems. Such problems involve a continuous mapping and a convex, but not necessarily differentiable function. We present existence and uniqueness results of solutions under weakened P-type assumptions on the cost mapping. They enable us to establish new results for the economic equilibrium problems under consideration.