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首页> 外文期刊>The Journal of Nonlinear Sciences and its Applications >Split equality problem with equilibrium problem, variational inequality problem, and fixed point problem of nonexpansive semigroups
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Split equality problem with equilibrium problem, variational inequality problem, and fixed point problem of nonexpansive semigroups

机译:具有非扩张半群的均衡问题,变分不等式问题和不动点问题的分裂等式问题

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摘要

In this paper, we present a new algorithm for the split equality problem for finding a common element of solution of equilibrium problem, solution of variational inequality problem for monotone and Lipschitz continuous operators, and common fixed point of nonexpansive semigroups. We establish strong convergence of the algorithm in an infinite dimensional Hilbert spaces. Our results improve and generalize some recent results in the literature.
机译:在本文中,我们为分裂等式问题提出了一种新算法,该算法可找到平衡问题解的公共元素,单调和Lipschitz连续算子的变分不等式问题的解以及非扩展半群的公共不动点。我们在无限维希尔伯特空间中建立了算法的强收敛性。我们的结果改进并归纳了文献中的一些最新结果。

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