The quasivariational inclusion problems are formulated and sufficient
conditions on the existence of solutions are shown. As special cases, we obtain
several results on the existence of solutions of a general vector ideal (proper, Pareto,
weak) quasi-optimization problems, of quasivariational inequalities, and of vector
quasi-equilibrium problems. Further, we prove theorems on the existence for solutions
of the sum of these inclusions. As corollaries, we shall show several results on
the existence of solutions to another problems in the vector optimization problems
concerning multivalued mappings.
