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In this paper, we introduce a new iterative algorithm for finding a common element of the set of solutions of a generalized mixed equilibrium problem related to a continuous monotone mapping, the set of solutions of a variational inequality problem for a continuous monotone mapping, and the set of fixed points of a continuous pseudocontractive mapping in Hilbert spaces. Weak convergence for the proposed iterative algorithm is proved. Our results improve and extend some recent results in the literature.
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참고문헌 (24)
참고문헌 신청
Abdellah Bnouhachem / 2014 / An iterative algorithm for system of generalized equilibrium problems and fixed point problem / Fixed Point Theory and Applications 2014 (1) : 23
C. E. Chidume / 2001 / An example of the Mann iteration method for Lipschitz pseudocontractions / Proc. Amer. Math. Soc 129 (8) : 2359 ~ 2363
C. H. Mo
C. H. Morales / 2007 / Strong convergence of path for continuous pseudo-contractive mappings / Proc. Amer. Math. Soc 135 (9) : 2831 ~ 2838
E. Blum / 1994 / From optimization and variational inequalities to equilibrium problems / Math. Student 63 : 123 ~ 145
C. E. Chidume / 2001 / An example of the Mann iteration method for Lipschitz pseudocontractions / Proc. Amer. Math. Soc 129 (8) : 2359 ~ 2363
C. H. Mo
C. H. Morales / 2007 / Strong convergence of path for continuous pseudo-contractive mappings / Proc. Amer. Math. Soc 135 (9) : 2831 ~ 2838
E. Blum / 1994 / From optimization and variational inequalities to equilibrium problems / Math. Student 63 : 123 ~ 145
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