复合极小化问题和k-Demicontractive映像不动点的强收敛定理  

Composite Minimization Problem and Strong Convergence Theorem for Fixed Points of k-Demicrontractive Mapping

作　　者：刘洪波 李义[1] LIU Hongbo;LI Yi(School of Mathematics and Physics,Southwest University of Science and Technology,Mianyang 621010,Sichuan,China)

机构地区：[1]西南科技大学数理学院,四川绵阳621010

出　　处：《西南科技大学学报》2022年第3期98-104,共7页Journal of Southwest University of Science and Technology

摘　　要：引入了在Hilbert空间中一种关于逼近复合极小化问题的解和k-Demicontractive映像的不动点的公共点的迭代算法,在适当构成迭代序列参数的极限条件下,证明了复合极小化问题的解和k-Demicontractive映像不动点的一个强收敛定理,给出了主要结果在解决平衡问题上的一个应用。An iterative algorithm is introduced for approximating a common solution of a composite minimization problem and a fixed point problem for k-Demicontractive mapping in a Hilbert space.Under suitable parameter limit conditions,a strong convergence theorem for approximating a common solution of a composite minimization problem and a fixed point problem for k-Demicontractive mapping was proved,and an application of the main results to solving equilibrium problems is provided.

关 键 词：复合极小化问题 k-Demicontractive映像 度量投影 不动点 Halpern迭代序列 下半连续函数 

分 类 号：O241.6[理学—计算数学]