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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2008.1
- 수록면
- 57 - 65 (9page)
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초록· 키워드
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The approximate solvability of a generalized system for nonlinear variational inequality in Hilbert spaces was studied, based on the convergence of projection methods. But little research was done in Banach space. The primary reason was that projection mapping lacked preferably property in Banach space. In this paper, we introduced the generalized projection methods. By using these methods, the results presented in this paper extended the main results of S. S. Chang [3] from Hilbert spaces to Banach space.
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참고문헌 (8)
참고문헌 신청
C. E. Chidume / / Projection methods for approximating fixed points of Lipschitz suppressive operators
Jinlu Li / 2004 / On the existence of solutions of variational inequalities in Banach spaces / J. Math. Anal. Appl 295 : 115 ~ 126
K. R. Kazmi / 1997 / Mann and Ishikawa type perturbed iterative algorithms for generalized quasivariational inclusions / J. Math. Anal. Appl 209 : 572 ~ 584
R. U. Verma / 2005 / General convergence analysis for two-step projection methods and appli-cations to variational problems / Appl. Math. Lett 18 (11) : 1286 ~ 1292
S. S. Chang / 1999 / The Mann and Ishikawa iterative approximation of solutions to variational inclusions with accretive type mappings / Comput. Math. Appl 37 : 17 ~ 24
Jinlu Li / 2004 / On the existence of solutions of variational inequalities in Banach spaces / J. Math. Anal. Appl 295 : 115 ~ 126
K. R. Kazmi / 1997 / Mann and Ishikawa type perturbed iterative algorithms for generalized quasivariational inclusions / J. Math. Anal. Appl 209 : 572 ~ 584
R. U. Verma / 2005 / General convergence analysis for two-step projection methods and appli-cations to variational problems / Appl. Math. Lett 18 (11) : 1286 ~ 1292
S. S. Chang / 1999 / The Mann and Ishikawa iterative approximation of solutions to variational inclusions with accretive type mappings / Comput. Math. Appl 37 : 17 ~ 24
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