Variational inequalities with operator solutions

  title={Variational inequalities with operator solutions},
  author={A. Domokos and J{\'o}zsef Kolumb{\'a}n},
  journal={J. Global Optimization},
The aim of the present paper is to give a new kind of point of view in the theory of variational inequalities. Our approach makes possible the study of both scalar and vector variational inequalities under a great variety of assumptions. One can include here the variational inequalities defined on reflexive or nonreflexive Banach spaces, as well as the vector variational inequalities defined on topological vector spaces.