Impulsive differential systems represent a natural framework for mathematical modelling of several processes in the applied sciences [1 4].
Variational inequality theory has been studied widely in several branches of pure and applied sciences.
This theory has had a great impact and influence in the development of several branches of pure and applied sciences.
In particular, variational inequality theory has been studied widely in several branches of pure and applied sciences.
Equilibrium problems, which were introduced in [2] in 1994, have had a great impact and influence in the development of several branches of pure and applied sciences.
Equilibrium problems, which were introduced by [10] in 1994, have had a great impact and influence on the development of several branches of pure and applied sciences.
It is worth noting that the variational inclusions and related problems are being studied extensively by many authors and have important applications in operations research, optimization, mathematical finance, decision sciences, and other several branches of pure and applied sciences.
Impulsive differential equations, which provide a natural description of observed evolution processes, are regarded as important mathematical tools for the better understanding of several real world problems in applied sciences.
The set of solutions of problem (1.3) is denoted by VI ( C, A ). Equilibrium problems, which were introduced in [5] in 1994, have had great impact and influence on the development of several branches of pure and applied sciences.
The GVEP includes vector optimization problem, vector variational inequality problem, vector complementarity problem, vector Nash equilibrium problem, and fixed point problem, which has made notable influence in several branches of pure and applied sciences.
