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| ON THE TOPOLPGICAL DEGREE FOR THE SUM OF MAXIMAL MOMOTONE OPERATOR AND GENERALIZED PSEUDOMONOTONE OPERATOR |
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Citation： |
Zhao Yichun.ON THE TOPOLPGICAL DEGREE FOR THE SUM OF MAXIMAL MOMOTONE OPERATOR AND GENERALIZED PSEUDOMONOTONE OPERATOR[J].Chinese Annals of Mathematics B,1983,4(2):241~254 |
| Page view： 594
Net amount： 811 |
Authors： |
Zhao Yichun; |
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| Abstract： |
Let X be a real separable reflexive Banach space, $${X^*}$$ its dual space, and let T: $X \to {X^*}$
be a maximal monotone operator, P ：$X \to {X^*}$ 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 products surjectvity result is obtained. In particular, we have given a partially affirmative answer to a Browder's question by using a topological method (of., Mathematical Developments arising from Hilbert Problems, Vol. 1(1976), 68—73 AMS) |
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