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Iterative algorithms for finding minimum‐norm fixed point of nonexpansive mappings and applications
Author(s) -
Tang Yuchao,
Liu Liwei
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2874
Subject(s) - mathematics , fixed point , norm (philosophy) , regular polygon , convergence (economics) , mathematical optimization , iterative method , convex function , algorithm , mathematical analysis , geometry , political science , law , economics , economic growth
This paper deals with the problem of finding minimum‐norm fixed point of nonexpansive mappings. We present two types of iteration methods (one is implicit, and the other is explicit). We establish strong convergence theorems for both methods. Some applications are given regarding convex optimization problems and split feasibility problems. These results improve some known results existing in the literatures. Copyright © 2013 John Wiley & Sons, Ltd.