|
|||||
|
|
Existence results for equilibrium problems with applications to evolution equations |
|
| Authors: | O. Chadli A. Lahmdani |
| Affiliation: | 1. Faculty of Economics and Social Sciences, Department of Economics, Ibn Zohr University, B.P. 8658 Poste Dakhla, Agadir, Morocco.;2. Faculty of Sciences, Department of Mathematics, Ibn Zohr University, Agadir, Morocco. |
| Abstract: | In this paper, we consider evolution equations with time-dependent pseudomonotone and quasimonotone operators by a new approach based on equilibrium problems theory. We establish new existence results for equilibrium problems associated to pseudomonotone and quasimonotone bifunctions in the topological sense. The results obtained are then applied to derive existence of solutions for evolution equations. The approach is new and leads to improve and unify most of the results obtained in this direction. |
| Keywords: | evolution equations maximal monotone operators pseudomonotone operators quasimonotone operators equilibrium problems evolution triple |