Constrained ∈-vector valued games and generalized multi-valued ∈-minmax, ∈-maxmin programming

In the present work we have studied the relationship between ∈-equilibrium point of a vector valued game and a ∈-saddle point of associated multiobjective programming problem. In the analysis, which follows, the technique of Liu for treating ∈-Pareto optimality for multiobjective programming problems has been exploited. The results obtained extend the work of Singh and Rueda in the context of vector-valued games.