From takacsp at math.bme.hu Thu Nov 23 18:11:30 2017 From: takacsp at math.bme.hu (takacsp) Date: Thu, 23 Nov 2017 18:11:30 +0100 Subject: [Mat09] =?utf-8?b?RndkOiBCTUUgb3B0aW1hbGl6w6Fsw6FzIHN6ZW1pbsOh?= =?utf-8?q?rium?= In-Reply-To: <0c665c0424d057c57f084b8c056282f0@math.bme.hu> References: <0c665c0424d057c57f084b8c056282f0@math.bme.hu> Message-ID: Meghívó Szeretettel várunk minden kedves érdeklődőt a BME Optimalizálás Szemináriumán! Az előadás részletei: november 30. (csütörtök), 14.15, H306 Kolumbán József (Kolozsvár): Existence theorems via duality for equilibrium problems with trifunctions Absztrakt: An existence result for equilibrium problems formulated with trifunctions will be given. It is motivated by variational inequalities governed by operators with two arguments, wich are monotone relative to one of them only, for example by the Navier-Stokes operator. For such a variational inequality the theory of equilibrium problems formulated with bifunctions can not be applied, however the theory of equilibrium problems formulated with trifunctions is suitable for it. The results obtained are applied to study the existence of solutions for nonlinear evolution equations in the setting of reflexive Banach spaces. This new approach leads us to improve and unify most of the recent results obtained in this direction. Üdvözlettel, Rigó Petra Renáta