Proceedings of the American Mathematical Society

Decreasing flow invariant sets and fixed points of quasimonotone increasing operators

Author(s): Jingxian Sun; Xi'an Xu
Journal: Proc. Amer. Math. Soc. 129 (2001), 2663-2669.
MSC (2000): Primary 47H10, 47H05
Posted: February 9, 2001
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In this paper, we obtain some new results about the existence of multiple fixed points of a kind of quasimonotone increasing operator by the new method of decreasing flow invariant set.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 47H10, 47H05

Jingxian Sun
Affiliation: Department of Mathematics, Shandong University, Jinan, Shandong, 250100, People's Republic of China

Xi'an Xu
Affiliation: Department of Mathematics, Shandong University, Jinan, Shandong, 250100, People's Republic of China
Email: xxa@math.sdu.edu.cn

DOI: 10.1090/S0002-9939-01-05975-5
PII: S 0002-9939(01)05975-5
Keywords: Quasimonotone increasing operator, fixed point, upper and lower solution
Received by editor(s): January 10, 2000
Posted: February 9, 2001
Additional Notes: Supported by NNSF-China and RFDP-China.
Communicated by: Joseph A. Ball
Copyright of article: Copyright 2001, American Mathematical Society

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