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Approximation Theorems for Solving the Common Solution for System of Generalized Equilibrium Problems and Fixed Point Problems and Variational Inequality Problems

机译:求解广义均衡问题系统的常见解决方案及定点问题及变分不等式问题

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In this paper, we introduce a new iterative sequence which is constructed by using the hybrid projection method for solving the common solution for a system of generalized equilibrium problems of inverse strongly monotone mappings and a system of bifunctions satisfying certain the conditions, the common solution for the families of quasi -Φ- asymptotically nonexpansive and uniformly Lipschitz continuous and the common solution for a variational inequality problem. Strong convergence theorems are proved on approximating a common solution of a system of generalized equilibrium problems, fixed point problems for two countable families and a variational inequality problem in a uniformly smooth and 2-uniformly convex real Banach space.
机译:在本文中,我们介绍了一种新的迭代序列,该迭代序列是通过使用用于解决逆型单调映射的广义均衡问题的系统的常见解决方案的混合投影方法和满足某些条件的分离系统,常见的解决方案准φ-渐近非百分比的家族和均匀的Lipschitz连续和普通解决方案进行变分不等式问题。证明了强大的收敛定理,近似于普遍平衡问题的系统,两个可数家庭的固定点问题以及均匀平滑,2-均匀的凸起真正的Banach空间中的变分不等式问题。

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