SCALARIZATION IN SET OPTIMIZATION AND APPLICATIONS

Tóm tắt

In this paper, we study the properties of the nonlinear scalarizing functions for set optimization problems and its applications. First, under suitable assumptions, we establish the semicontinuity and pseudo-monotonicity of such functions. Next, by using the above properties, we study the well-posedness of related equilibrium problems. Our results are new or improve the existing ones in the literature.