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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제27권 제1호
- 발행연도
- 2009.1
- 수록면
- 431 - 440 (10page)
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초록· 키워드
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In this paper, we introduce and consider a new system of relaxed cocoercive variational inequalities involving three different operators and the concept of projective nonexpansive mapping. Base on the projection technique, we suggest two kinds of new iterative methods for the approximate solvability of this system. The results presented in this paper extend and improve the main results of [S.S. Chang, H.W.J. Lee, C.K. Chan, Generalized system for relaxed co coercive variational inequalities in Hilbert spaces, Appl. Math. Lett. 20 (2007) 329-334] and [Z. Huang, M. Aslam Noor, An explicit projection method for a system of nonlinear variational inequalities with different ($\gamma,r$)-cocoercive mappings, Appl. Math. Comput. (2007), doi:10.1016/j.amc.2007.01.032].
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참고문헌 (9)
참고문헌 신청
G. Stampacchia / 1964 / Formes bilinearies coercivities sur les ensembles convexes / C.R. Acad.Sci. Paris 258:4413~4416
J. Lions / 1967 / Variational inequalities / Commun, Pure Appl. Math 20:493~512
D. Gabay / Applications of the Method of Multipliers Variational Inequalities, in Augmented Lagrangian Methods / North-Holland :299~331
R. Verma / 2004 / Generalized system for relaxed cocoercive variational inequalities and its pro-jection methods / J. Optim. Theory Appl 121(1):203~210
R. Verma / 2004 / Generalized class of partial relaxed monotonicity and its connections / Adv.Nonlinear Var. Inequal 7(2):155~164
J. Lions / 1967 / Variational inequalities / Commun, Pure Appl. Math 20:493~512
D. Gabay / Applications of the Method of Multipliers Variational Inequalities, in Augmented Lagrangian Methods / North-Holland :299~331
R. Verma / 2004 / Generalized system for relaxed cocoercive variational inequalities and its pro-jection methods / J. Optim. Theory Appl 121(1):203~210
R. Verma / 2004 / Generalized class of partial relaxed monotonicity and its connections / Adv.Nonlinear Var. Inequal 7(2):155~164
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