In this paper,we introduce a new inertial Tseng's extragradient algorithm for finding a common element of the set of solutions of a quasimonotone variational inequality problem and the set of fixed points of a demicontractive mapping in real Hilbert spaces.The strong convergence of the algorithm is proved under quasimonotone and uniformly continuous assumptions of the variational inequality mapping.Finally,some numerical examples illustrate the effectiveness of our algorithm.
关键词
变分不等式问题与不动点问题/Tseng型外梯度算法/拟单调映射/半压缩映射/强收敛
Key words
variational inequality problem and fixed point problem/Tseng's extragradient algorithm/quasimonotone mapping/demicontractive mapping/strong convergence
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