Existence theorems for monotone operators in reflexive Banach spaces |
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| Authors: | Shin-Ya Matsushita Wataru Takahashi |
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| Institution: | (1) Department of Information Engineering, Matsue National college of Technology, Nishi-ikuma-chou, Matsue, Shimane 690-8518, Japan;(2) Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Oh-Okayama, Meguro-ku, Tokyo 152-8552, Japan |
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| Abstract: | In this paper, we obtain an existence theorem for single-valued monotone operators in a reflexive Banach space. Using this
result, we prove a fixed point theorem for nonexpansive mappings in a Hilbert space and an existence theorem for maximal monotone
operators in a Banach space.
Received: 3 July 2006 Revised: 15 January 2007 |
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| Keywords: | Primary 47H05 Secondary 47H10 47H04 |
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