Abstract
In this survey article, we present an introduction of split feasibility problems, multisets split feasibility problems and fixed point problems. The split feasibility problems and multisets split feasibility problems are described. Several solution methods, namely, CQ methods, relaxed CQ method, modified CQ method, modified relaxed CQ method, improved relaxed CQ method are presented for these two problems. Mann-type iterative methods are given for finding the common solution of a split feasibility problem and a fixed point problem. Some methods and results are illustrated by examples.
| Original language | English |
|---|---|
| Title of host publication | Nonlinear Analysis |
| Subtitle of host publication | Approximation Theory, Optimization and Applications |
| Publisher | Springer India |
| Pages | 281-322 |
| Number of pages | 42 |
| ISBN (Electronic) | 9788132218838 |
| ISBN (Print) | 9788132218821 |
| DOIs | |
| State | Published - 1 Jan 2014 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© Springer India 2014.
Keywords
- CQ methods
- Extragradient method
- Fixed point problems
- Mann's iterative method
- Multisets split feasibility problems
- Projection gradient method
- Relaxed CQ algorithm
- Relaxed extragradient method
- Split feasibility problems
- Variational inequalities
ASJC Scopus subject areas
- General Mathematics
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