ABSTRACT
Monotone-type mappings are a class of mappings without continuous and compact conditions. The concept of monotone mapping was introduced by Kachurovski, Vainberg, Zarantonello in 1960, and it plays a very important role in studying the weak solution of the partial differential equations in divergence form and variational inequality problems. Minty, Browder, Bre´zis, Rockafellar, Crandall, Gossez, etc., made significant contributions to monotone operator theory. It was shown by Skrypnik, Browder, Berkovitz, Mustonen, Kartsatos, and others that it is possible to construct the degree theory for monotone-type mappings.
