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| On a Surjectivity for the Sum of Two Mappings of Monotone Type |
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Citation： |
Zhao Yichun.On a Surjectivity for the Sum of Two Mappings of Monotone Type[J].Chinese Annals of Mathematics B,1985,6(4):471~480 |
| Page view： 890
Net amount： 883 |
Authors： |
Zhao Yichun; |
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| Abstract： |
In this paper the sum (T+S) of two nonlinear mappings is considered, where T is maximal monotone or generalized pseudomonotone and S is generalized pseudomonotone or of type (M). By using the concepts of T-boundedness, T-generalized pseudomonotone mappings and mappings of type T-(M) introduced by the author, it is proved that (T+S) is of type (M). A new surjectivity result for multivalued pseudo A-proper mappings, is given. As a consequence, it is obtained that the coercive mappings of type (M) whose effective domain contains a dense linear subspace are surjectivity. In particular, the author answers affirmatively a part of Browder's question (see [1], p. 70). |
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