A viscosity approximation method for equilibrium problems, fixed point problems of nonexpansive mappings and a general system of variational inequalities

作者：Plubtieng S^*; Thammathiwat T

来源：Journal of Global Optimization, 2010, 46(3): 447-464.

DOI：10.1007/s10898-009-9448-5

• Nonexpansive mapping
• Equilibrium problem
• Fixed point
• General system of variational inequality

In this paper, we introduce and study a new iterative scheme for finding the common element of the set of common fixed points of a sequence of nonexpansive mappings, the set of solutions of an equilibrium problem and the set of solutions of the general system of variational inequality for alpha and mu-inverse-strongly monotone mappings. We show that the sequence converges strongly to a common element of the above three sets under some parameters controlling conditions. This main theorem extends a recent result of Ceng et al. (Math Meth Oper Res 67:375-390, 2008) and many others.

• 出版日期2010-3