Fixed point theorems for a class of nonlinear mappings related to maximal monotone operators in Banach spaces |
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| Authors: | Fumiaki Kohsaka Wataru Takahashi |
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| Institution: | (1) Department of Information Environment, Tokyo Denki University, Muzai Gakuendai, Inzai, Chiba 270-1382, 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, the class of nonspreading mappings in Banach spaces is introduced. This class contains the recently introduced
class of firmly nonexpansive type mappings in Banach spaces and the class of firmly nonexpansive mappings in Hilbert spaces.
Among other things, we obtain a fixed point theorem for a single nonspreading mapping in Banach spaces. Using this result,
we also obtain a common fixed point theorem for a commutative family of nonspreading mappings in Banach spaces.
Received: 10 August 2007 |
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| Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) Primary 47H10 Secondary 47H05 |
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