ON THE TOPOLOGICAL DEGREE FOR THE SUM OF MAXIMAL MONOTONE OPERATOR AND GENERALIZED PSEUDOMONOTONE OPERATOR
Yali Zhao · 1983
Let X be a real separable reflexive Banach space, X~* its dual space, and let T: X→X~* be a maximal monotone operator, P: X→X~* a quasi-bounded generalized pseudomonotone operator or T-pseudomonotone operator. In this paper, We have constructed a topological degree for the operator(T+P). As a by product a surjectvity result is obtained. In particular, we have given a partially affirmative answer to a Browder's question by using a topological method(cf., Mathematical Developments arising from Hilbert Problems, Vol. 1(1976), 68-73 AMS)