期刊刊名：南台學報 　 卷期：39卷2期

篇名出版日期：2014年6月1日

作者：黃永裕,洪宗乾,蘇怡雯, Young-Ye Huang, Chung-Chien Hong, Yi-Wen Su

語言：English

關鍵字：Split feasibility problem, Averaged mapping, Frmly nonexpansive mapping, Maximal monotone operator,分裂可行解問題,平均映射,絕對非擴張型映射,極大單調運算子

被點閱次數：7次

閱讀時間：438sec

摘要：
The split feasibility fixed point problem (SFFP) and the mathematical formulation of SFFP are introduced in this article. The SFFP covers several important practical problems, e.g., the split feasibility problem in medicine, the convex feasibility problem in optimization, and the equilibrium problem in economics. We modify the regularized method developed by Yao et al. [28] to find the minimum norm solution of SFFP. The sequence generated by our regularized algorithm strongly converges to the solution of SFFP. Since the split feasibility problem, the convex feasibility problem and the equilibrium problem are special cases of SFFP, our regularized algorithm can be considered as a unified methodology for solving these problems.

　　　　　[全文下載]