Fixed points for discontinuous quasi-monotone maps in sequence spaces
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- by Sabina Schmidt PDF
- Proc. Amer. Math. Soc. 115 (1992), 361-363 Request permission
Abstract:
In [2] Hu gives a fixed point theorem for discontinuous quasimonotone increasing maps in $X = {\mathbb {R}^n}$. We will answer the question in [2] as to whether this result can be extended to $X = {l^p},1 \leq p \leq \infty$.References
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A. Chaljub-Simon and P. Volkmann, Un thĂ©orĂšme dâexistence et de comparison pour des Ă©quations diffĂ©rentielles dans les espaces de fonctions bornĂ©es, C.R. Acad. Sci. Paris Ser. I Math. (to appear).
- Shou Chuan Hu, Fixed points for discontinuous quasi-monotone maps in $\textbf {R}^n$, Proc. Amer. Math. Soc. 104 (1988), no. 4, 1111â1114. MR 937846, DOI 10.1090/S0002-9939-1988-0937846-1
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 115 (1992), 361-363
- MSC: Primary 47H10; Secondary 47H05
- DOI: https://doi.org/10.1090/S0002-9939-1992-1081098-2
- MathSciNet review: 1081098