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Continuation method for |
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| Authors: | Yong-Zhuo Chen |
| Affiliation: | Division of Natural Sciences, University of Pittsburgh at Bradford, Bradford, Pennsylvania 16701 |
| Abstract: | Let  be a real Banach space partially ordered by a closed convex cone  with nonempty interior  . We study the continuation method for the monotone operator  which satisfies  for all  , ![$t in [a,, b] subset (0,, 1)$](http://www.ams.org/proc/2001-129-01/S0002-9939-00-05514-3/gif-abstract0/img7.gif){kind=small} , where  . Thompson's metric is among the main tools we are using. |
| Keywords: | $alpha$-sublinear cone fixed point generalized contraction monotone operator ordered Banach space Thompson's metric |
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