文献类型：会议论文

英文题名：A NEW ALGORITHM FOR COMMON FIXED-POINT PROBLEMS OF A FINITE FAMILY OF ASYMPTOTICALLY DEMICONTRACTIVE OPERATORS AND ITS APPLICATIONS

作者：Wang, Yaqin[1];Fang, Xiaoli[1];Kimi, Tae-Hwa[2]

机构：[1]Shaoxing Univ, Dept Math, Shaoxing 312000, Peoples R China;[2]Pukyong Natl Univ, Coll Nat Sci, Dept Appl Math, Busan 48513, South Korea

会议论文集：13th International Conference on Fixed Point Theory and its Applications (ICFPTA)

会议日期：JUL 09-13, 2019

会议地点：Henan Normal Univ, Xinxiang, PEOPLES R CHINA

主办单位：Henan Normal Univ

语种：英文

外文关键词：Common fixed-point problem; Asymptotically demicontractive operator; Strong convergence

外文摘要：In this paper, we firstly propose a new convergent algorithm for solving common fixed point problems in real Hilbert spaces for a finite family of asymptotically demicontractive operators. Under suitable assumptions we secondly prove a strong convergence theorem of this algorithm. Finally, as its applications we establish some strong convergence results for solving the multiple-set split equality common fixed-point problem and the multiple-set split equality problem. The results obtained in this paper generalize and improve the recent ones announced by many others.