A new iterative method for equilibrium problems, fixed point problems of infinitely nonexpansive mappings and a general system of variational inequalities
نویسندگان
چکیده
In this paper, we introduce a new iterative scheme for finding the common element of the set of common fixed points of infinitely many nonexpansive mappings, the set of solutions of an equilibrium problem and the set of solutions of a general system of variational inequalities for inverse-strongly monotone mappings in Hilbert spaces. We prove that the sequence converges strongly to a common element of the above three sets under some parameters controlling conditions. This main result improve and extend the corresponding results announced by many others. Using this theorem, we obtain three corollaries. Key–Words: Nonexpansive mapping, Equilibrium problem, Fixed point, Inverse-strongly monotone mapping, General system of variational inequality, Iterative algorithm.
منابع مشابه
A Relaxed Extra Gradient Approximation Method of Two Inverse-Strongly Monotone Mappings for a General System of Variational Inequalities, Fixed Point and Equilibrium Problems
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