Several variational relation problems in abstract convex spaces

Abstract

Luc [5] initiated to study variational relations, which are unifying approaches to various models of equilibrium theory and variational inclusions. In our previous work [13], some of Luc’s results were extended to abstract convex spaces. As a continuation of [13], in this article, we obtain some abstract space versions of known results on generalized KKM maps and variational relation problems appeared in the papers of Park and Lee [14], Balaj and Luc [2], Luc, Sarabi and Soubeyran [6], Lin [4], and Balaj [1], in the chronological order.