Symmetric strong vector quasi-equilibrium problems

Vector Equilibrium Problems on Dense Sets

“…The following equilibrium problem, called strong vector equilibrium problem [10,8], is also a valid extension of the scalar equilibrium problem to vector valued case. In the formulation of the strong vector equilibrium problem we do not assume the nonemptyness of the interior of the cone C.…”

Optimality conditions for vector equilibrium problems

“…A number of papers have been devoted to the existence of solutions (see [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]). But so far, there are few papers which deal with the properties of the solutions for the vector equilibrium problems.…”

Symmetric strong vector quasiequilibrium problems in Hausdorff locally convex spaces

“…A lot of results for existence of solutions for vector equilibrium problems and vector variational inequalities have been established by many authors in different ways. For details, we refer the reader to various studies (see, e.g., [3][4][5][6][7][8][9][10][11][12][13][14][15] and the references therein).…”

“…It is better than other solutions, such as efficient solution, weak efficient solution, proper efficient solution, and supper efficient solution (see [18]). Hence, it is important to study the existence of strong efficient solution and the properties of the strong efficient solution set.…”