In this paper, we propose two novel parallel hybrid methods for finding acommon element of the set of solutions of a finite family of generalizedequilibrium problems for monotone bifunctions $\left\{f_i\right\}_{i=1}^N$ and$\alpha$ - inverse strongly monotone operators $\left\{A_i\right\}_{i=1}^N$ andthe set of common fixed points of a finite family of (asymptotically) $\kappa$-strictly pseudocontractive mappings $\left\{S_j\right\}_{j=1}^M$ in Hilbertspaces. The strong convergence theorems are established under the standardassumptions imposed on equilibrium bifunctions and operators. A numericalexample is presented to illustrate the efficiency of the proposed parallelmethods.
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机译:在本文中,我们提出了两种新颖的并行混合方法,用于寻找单调双函数$ \ left \ {f_i \ right \} _ {i = 1} ^ N $和的有限系列广义平衡问题的一组有限元。 $ \ alpha $-逆强单调算子$ \ left \ {A_i \ right \} _ {i = 1} ^ N $和(渐近)$ \ kappa $-严格伪压缩映射的有限族的公共不动点集Hilbertspaces中的$ \ left \ {S_j \ right \} _ {j = 1} ^ M $。强平衡定理是在对平衡双功能和算子施加的标准假设下建立的。给出了一个数值例子来说明所提出的并行方法的效率。
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