Recession bifunction and solvability of noncoercive equilibrium problems. (English) Zbl 1085.49501
Summary: After proving a criterion of maximality of the monotone bifunction in a reflexive Banach space, we establish an equivalence between maximality of the monotone bifunction and maximal monotonicity of the associated operator. Afterward, we solve an equilibrium problem by using a recession bifunction.
MSC:
49J35 | Existence of solutions for minimax problems |
90C47 | Minimax problems in mathematical programming |