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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제33권 제3호
- 발행연도
- 2015.1
- 수록면
- 401 - 415 (15page)
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초록· 키워드
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In this paper, we propose a modified proximal point algorithm which consists of a resolvent operator technique step followed by a generalized projection onto a moving half-space for approximating a solution of a variational inclusion involving a maximal monotone mapping and a monotone, bounded and continuous operator in Banach spaces. The weak convergence of the iterative sequence generated by the algorithm is also proved.
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참고문헌 (26)
참고문헌 신청
Y. I. Alber. / 2001 / On the projection methods for xed point problems / Analysis 21:17~39
Y. I. Alber. / 1994 / An iterative method for solving a class of nonlinear operator equations in Banach spaces / Panamer. Math. J 4:39~54
L. C. Cai. / 2011 / Perturbed algorithms for solving nonlinear relaxed coco-ercive operator equations with general A-monotone operators in Banach spaces / Commun Nonlinear Sci Numer Simulat 16:3923~3932
J. Diestel / 1975 / Geometry of Banach Spaces / Springer-Verlag
Y. P. Fang. / 2004 / H-accretive operators and resolvent operator technique for solving variational inclusions in Banach spaces / Appl. Math. Lett 17:647~653
Y. I. Alber. / 1994 / An iterative method for solving a class of nonlinear operator equations in Banach spaces / Panamer. Math. J 4:39~54
L. C. Cai. / 2011 / Perturbed algorithms for solving nonlinear relaxed coco-ercive operator equations with general A-monotone operators in Banach spaces / Commun Nonlinear Sci Numer Simulat 16:3923~3932
J. Diestel / 1975 / Geometry of Banach Spaces / Springer-Verlag
Y. P. Fang. / 2004 / H-accretive operators and resolvent operator technique for solving variational inclusions in Banach spaces / Appl. Math. Lett 17:647~653
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