Generalizations of browder’s degree theory
The starting point of this paper is the recent important work of F. E. Browder, who extended degree theory to operators of monotone type. The degree function of Browder is generalized to maps of the form T+f+G, where T is maximal monotone, f is of class (S)+bounded, and G(•) is an u.s.c. compact multifunction. It is also generalized to maps of the form f+NG, with f of class (S)+and NGthe Nemitsky operator of a multifunction G(x, r) satisfying various types of sign conditions. Some examples are also included to illustrate the abstract results.
Additivity on domain, Approximate selector, Compact embedding, Degree function, Homotopy invariance, Monotone operator, Multifunction, Nemitsky operator, Normalization, Operator of class (S) +, Sign condition
Hu, Shou Chuan, and Nikolaos S. Papageorgiou. "Generalizations of Browder’s degree theory." Transactions of the American Mathematical Society 347, no. 1 (1995): 233-259.
Transactions of the American Mathematical Society