CAJ | 학술논문

应用非扩张映射的黏性逼近方法,在Hilbert空间中建立了一种新的求解平衡问题非扩张映射的不动点问题及变分不等式问题的公共解的迭代算法,且在参数满足一定条件下给出由该迭代算法生成的迭代序列的强收敛定理.
응용비확장영사적점성핍근방법,재Hilbert공간중건립료일충신적구해평형문제비확장영사적불동점문제급변분불등식문제적공공해적질대산법,차재삼수만족일정조건하급출유해질대산법생성적질대서렬적강수렴정리.
By applying the viscosity approximation method for non-expansive mappings,a new iterative algorithm for finding the common solution for the equilibrium problem,fixed point problem of infinitely non-expansive mappings and the variational inequality problem was constructed in Hilbert spaces.Some convergence theorems of the iterative sequences are obtained when the parameters meet certain suitable conditions.The results improve and help popularize some of the recent research achievements published in many literatures.