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In this paper, we introduce an iterative sequence for finding solution of a system of mixed equilibrium problems and the set of fixed points of a nonexpansive mapping in Hilbert spaces. Then, the weak and strong convergence theorems are proved under some parameters controlling conditions. Moreover, we apply our result to fixed point problems, system of equilibrium problems, general system of variational inequalities, mixed equilibrium problem, equilibrium problem and variational inequality.
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참고문헌 (32)
참고문헌 신청
W. Takahashi / 2000 / Nonlinear Functional Analysis / Yokohama Publishers
W. Takahashi / 2009 / Introduction to Nonlinear and Convex Analysis / Yokohama Publishers
S. Takahashi / 2007 / Viscosity approximation methods for equilibrium prob- lems and fixed point problems in Hilbert spaces / J. Math. Anal. Appl 331(1):506~515
R. U. Verma / 2001 / Projection methods, algorithms, and a new system of nonlinear variational inequalities / Comput. Math. Appl 41(7):1025~1031
H. K. Xu / 2004 / Viscosity approximation methods for nonexpansive mappings / J. Math. Anal. Appl 298(1):279~291
W. Takahashi / 2009 / Introduction to Nonlinear and Convex Analysis / Yokohama Publishers
S. Takahashi / 2007 / Viscosity approximation methods for equilibrium prob- lems and fixed point problems in Hilbert spaces / J. Math. Anal. Appl 331(1):506~515
R. U. Verma / 2001 / Projection methods, algorithms, and a new system of nonlinear variational inequalities / Comput. Math. Appl 41(7):1025~1031
H. K. Xu / 2004 / Viscosity approximation methods for nonexpansive mappings / J. Math. Anal. Appl 298(1):279~291
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