East Asian mathematical journal
- 제26권5호
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- Pages.627-639
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- 2010
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- 1226-6973(pISSN)
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- 2287-2833(eISSN)
DOI QR Code
STRONG CONVERGENCE THEOREMS FOR NONEXPANSIVE MAPPINGS AND INVERSE-STRONGLY-MONOTONE MAPPINGS IN A BANACH SPACE
- Liu, Ying (COLLEGE OF MATHEMATICS AND COMPUTER HEBEI UNIVERSITY)
- 투고 : 2010.08.16
- 심사 : 2010.11.20
- 발행 : 2010.11.30
초록
In this paper, we introduce a new iterative sequence finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality for an inverse-strongly-monotone mapping in a Banach space. Then we show that the sequence converges strongly to a common element of two sets. Using this result, we consider the problem of finding a common element of the set of fixed points of a nonexpansive mapping and the set of zeros of an inverse-strongly-monotone mapping, the fixed point problem and the classical variational inequality problem. Our results improve and extend the corresponding results announced by many others.
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