Journal
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
Volume 21, Issue 1, Pages 155-170Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/17415977.2012.677445
Keywords
nonlinear MSFP; self-adaptive projection methods; inverse problems
Funding
- NSFC [11071122, 11171159]
- Ministry of Education of China
Ask authors/readers for more resources
In this article, we consider the nonlinear multiple-sets split feasibility problem (NMSFP), which is to find a vector x* such that where C and Q are intersections of a family of simple nonempty closed convex sets in R n and R m , respectively, and F: R n ???R m is a continuous mapping. When the mapping F is linear, the problem reduces to the multiple-sets split feasibility problem (MSFP), see e.g. Censor et al. [Y. Censor, T. Elfving, N. Kopf, and T. Bortfeld, The multiple-sets split feasibility problem and its applications for inverse problems, Inverse Probl. 21 (2005), pp. 20712084]. While MSFP has been considered extensively and many numerical methods have been designed to solve it, there are few results on NMSFP. In this article, after introducing the nonlinear multiple-sets split feasibility model, we propose a projection-type algorithm to solve it. Under some suitable conditions, we prove the global convergence of the proposed algorithm. Finally, we use an example to illustrate the effect of the proposed algorithm.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available