We study the well-posedness for generalized set equilibrium problems (GSEP) and propose two types of the well-posed concepts for these problems in topological vector space settings. These kinds of well-posedness arise from some well-posedness in the vector settings. We also study the relationship between these well-posedness concepts and present several criteria for the well-posedness of GSEP. Our results are new or include as special cases recent existing results.
"Well-Posedness for Generalized Set Equilibrium Problems." Abstr. Appl. Anal. 2013 (SI45) 1 - 7, 2013. https://doi.org/10.1155/2013/419053