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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
- 161 - 173 (13page)
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In this paper, we introduce an iterative scheme for finding a common element of the set of fixed points of a nonexpansive mapping, the set of solutions of the variational inequality for an inverse-strongly monotone mapping and the set of solutions of an equilibrium problem in a Hilbert space. We show that the iterative sequence converges strongly to a common element of the three sets. The results of this paper extend and improve the corresponding results announced by many others.
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참고문헌 (18)
참고문헌 신청
E. Blum / 1994 / From optimization and variational inequalities to equilibrium prob-lems / Math. Student 63:123~145
F.E. Browder / 1965 / Nonlinear monotone operators and convex sets in Banach spaces / Bull.Amer. Math. Soc 71:780~785
F.E. Browder / 1968 / The fixed point theory of multi-valued mappings in topological vector spaces / Math. Ann 177:283~301
F.E. Browder / 1967 / Construction of fixed points of nonlinear mappings in Hilbert space / J. Math. Anal. Appl 20:197~228
P.L. Combettes / 2005 / Equilibrium programming in Hilbert spaces / J. Nonlinear Convex Anal 6:117~136
F.E. Browder / 1965 / Nonlinear monotone operators and convex sets in Banach spaces / Bull.Amer. Math. Soc 71:780~785
F.E. Browder / 1968 / The fixed point theory of multi-valued mappings in topological vector spaces / Math. Ann 177:283~301
F.E. Browder / 1967 / Construction of fixed points of nonlinear mappings in Hilbert space / J. Math. Anal. Appl 20:197~228
P.L. Combettes / 2005 / Equilibrium programming in Hilbert spaces / J. Nonlinear Convex Anal 6:117~136
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