Existences of solution for the implicit multi-valued vector equilibrium problem (Q1032035)

In the paper, the author considers a class of vector equilibrium-like problems in a Hausdorff vector space setting. These problems involve three vector bi-functions and a multi-valued mapping. By using the generalized monotonicity and convexity type assumptions, the author establishes an existence result thus extending the well-known ones for the usual equilibrium problems.