具强制条件的向量均衡问题

Vector Equilibrium Problems with Coercivity Conditions

研究锥伪单调、锥拟凸和上锥连续映射在某种强制性条件下的向量均衡问题解集的特征,建立强制性条件与向量均衡问题解集的关系,得到对偶向量均衡问题局部解集含于向量均衡问题解集的性质和向量均衡问题解集的非空性条件,给出在锥伪单调、锥拟凸和上锥连续映射条件下向量均衡问题解集的非空有界性与强制性条件的等价性．

The vector equilibrium problems with coercivity conditions for cone-pseudo- monotone, cone-quasiconvex and upper cone-continuous mappings are dealt with. The interrelations between coercivity conditions and solution sets of vector equilibrium problems are presented. The nonemptiness conditions on solution sets of vector equilibrium problems, and property that local solution set of dual vector equilibrium problem is contained in that of vector equilibrium problem are derived. An equivalence is stated between the nonemptiness and boundedness of solution set and those coercivity conditions in the cone-pseudomonotone, cone-quasiconvex and upper cone-continuous setting.