Notes on expansive mappings and a partial answer to Nirenberg's problem
In this article, two minor flaws made in the preceding paper [19] are corrected. And then several remarks concerning expansive mappings and their connection with monotone operators are observed. These observations are then used for generalizing the Minty-Browder theorem [9,2] and further answer...
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| Format: | Article |
| Language: | English |
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Texas State University
2013-01-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/02/abstr.html |
| Summary: | In this article, two minor flaws made in the preceding paper [19] are corrected. And then several remarks concerning expansive mappings and their connection with monotone operators are observed. These observations are then used for generalizing the Minty-Browder theorem [9,2] and further answer to Nirenberg's open question. Along this lines, a strengthened Nirenberg's problem is formulated and a surjective result for expansive mappings is obtained. Finally, two interesting conjectures concerning ``reverse" Schauder fixed point theorem are raised. |
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| ISSN: | 1072-6691 |