On the Solvability of Generalized Set-Valued Equilibrium Problems
In this present article, we consider the generalized equilibria accompanied with certain multi-objective multifunctions. This class unifies numbers of problems surfaced in the area of optimization including the well-known mixed equilibrium problems. Some theorems are adopted, under the conventional assumptions of continuity, convexity, and coercivity on the objective functions, guaranteeing that these functions enjoy the existence of such equilibria. The consequences of this generalized class are of course studied and presented as well.
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