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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2012.1
- 수록면
- 265 - 280 (16page)
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In this paper, we introduce an iterative sequence by using a hybrid generalized f−projection algorithm for finding a common element of the set of fixed points of a relatively weak nonexpansive mapping and the set of solutions of a generalized variational inequality in a Banach space. Our results extend and improve the recent ones announced by Y. Liu [Strong convergence theorems for variational inequalities and rela- tively weak nonexpansive mappings, J. Glob. Optim. 46 (2010), 319–329], J. Fan, X. Liu and J. Li [Iterative schemes for approximating solutions of generalized variational inequalities in Banach spaces, Nonlinear Analysis 70 (2009), 3997–4007], and many others.
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참고문헌 (22)
참고문헌 신청
D. Butanriu / 2001 / Asymtotic behavior of relatively nonexpansive operators in Banach spaces / J. Appl. Anal 7 : 151 ~ 174
D. Butanriu / 2003 / Weakly convergence of orbits of nonlinear operators in re exive Banach spaces / Numer. Funct. Anal. Optim 24 : 489 ~ 508
F. Kohasaka / 2004 / Strong convergence of an iterative sequence for maximal monotone operators in Banach spaces / Abstr. Appl. Anal 204 : 239 ~ 249
H. Iiduka / 2005 / Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings / Nonlinear Anal 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
D. Butanriu / 2003 / Weakly convergence of orbits of nonlinear operators in re exive Banach spaces / Numer. Funct. Anal. Optim 24 : 489 ~ 508
F. Kohasaka / 2004 / Strong convergence of an iterative sequence for maximal monotone operators in Banach spaces / Abstr. Appl. Anal 204 : 239 ~ 249
H. Iiduka / 2005 / Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings / Nonlinear Anal 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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