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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2010.1
- 수록면
- 627 - 639 (13page)
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초록· 키워드
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In this paper, we introduce a new iterative sequence for 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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참고문헌 (13)
참고문헌 신청
F. E. Browder / 1967 / Construction of xed points of nonlinear mappings in Hilbert space / J. Math. Anal. Appl. 20 : 197 ~ 228
F. Liu / 1998 / Regularization of nonlinear ill-posed variational inequalities and convergence rates / Set-Valued Anal. 6 : 313 ~ 344
H. Iiduka / 2004 / Approximation of solutions of variational inequalities for monotone mappings / Panamer. Math. J. 14 : 49 ~ 61
H. Iiduka / 2005 / Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings / Nonlinear Analysis 61 : 341 ~ 350
H. Iiduka / 2008 / Weak convergence of a projection algorithm for variational inequalities in a Banach space / J. Math. Anal. Appl. 339 : 668 ~ 679
F. Liu / 1998 / Regularization of nonlinear ill-posed variational inequalities and convergence rates / Set-Valued Anal. 6 : 313 ~ 344
H. Iiduka / 2004 / Approximation of solutions of variational inequalities for monotone mappings / Panamer. Math. J. 14 : 49 ~ 61
H. Iiduka / 2005 / Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings / Nonlinear Analysis 61 : 341 ~ 350
H. Iiduka / 2008 / Weak convergence of a projection algorithm for variational inequalities in a Banach space / J. Math. Anal. Appl. 339 : 668 ~ 679
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