Abstract

In this paper, we deal with vector equilibrium problems. We prove the nonemptiness of the solution set for this type of problems in the sequential compactness case and in the absence of convexity and lower semicontinuity assumptions. Some examples are presented and an existence result for countable systems of vector equilibrium problems is stated.

中文翻译：

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矢量平衡问题的平衡存在性新结果

摘要

在本文中，我们处理向量平衡问题。我们证明了在顺序紧性情况下以及在没有凸性和下半连续性假设的情况下此类问题的解集的非空性。给出了一些例子并给出了可数矢量平衡问题系统的存在性结果。