W-空间的平衡问题

Equilibrium Problems on W Space

得到了Ｗ－空间数量情形的平衡问题的解的若干存在性定理，其结果在没有单调性条件下将文［１、２］的相应定理由Ｈａｕｓｄｏｒｆ拓扑向量空间推广到了Ｗ空间；然后通过引入ξ函数将其转化为向量形式，从而得到向量平衡问题的解的若干存在性定理，其结果在没有单调性条件下将文［１、３］的相应定理由Ｈａｕｓｄｏｒｆ拓扑向量空间推广到了Ｗ空间，且减弱了文［４、５］相应定理的连续性条件．

Some existence theorems of scalar equilibrium problems are obtained ,these results generilize correspond theorems of paperswithout monotonic conditions from Hausdorff topological vector space to W space;then by introducing ξ function the scalar equilibrium problems are changed into vcetor equilibrium problmes,some existence theorems of vcetor equilibrium problems are obtained ,these results generilize correspond theorems of paper without monotonic conditions from Hausdorff topological vector space to W space,these results also make weaker the continuous conditions of paper.