Continuation method for $\alpha$-sublinear mappings
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- by Yong-Zhuo Chen PDF
- Proc. Amer. Math. Soc. 129 (2001), 203-210 Request permission
Abstract:
Let $B$ be a real Banach space partially ordered by a closed convex cone $P$ with nonempty interior $\mathring {P}$. We study the continuation method for the monotone operator $A: \mathring {P} \rightarrow \mathring {P}$ which satisfies \begin{eqnarray*} A(tx) \geq t^{\alpha (a,b)} A(x), \end{eqnarray*} for all $x \in \mathring {P}$, $t \in [a, b] \subset (0, 1)$, where $\alpha (a,b) \in (0, 1)$. Thompson’s metric is among the main tools we are using.References
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Additional Information
- Yong-Zhuo Chen
- Affiliation: Division of Natural Sciences, University of Pittsburgh at Bradford, Bradford, Pennsylvania 16701
- Email: yong@imap.pitt.edu
- Received by editor(s): September 15, 1997
- Received by editor(s) in revised form: April 5, 1999
- Published electronically: August 29, 2000
- Communicated by: Dale Alspach
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 203-210
- MSC (1991): Primary 47H07, 47H09; Secondary 47H10
- DOI: https://doi.org/10.1090/S0002-9939-00-05514-3
- MathSciNet review: 1694453