| Inexact Averaged Projection Algorithm for Nonconvex Multiple-Set Split Feasibility Problems |
| Received:May 07, 2019 Revised:September 04, 2019 |
| Key Words:
multiple-set split feasibility problem averaged projections Kurdyka-\L ojasiewicz inequality
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| Fund Project:Supported by the Natural Natural Science Foundation of China (Grant Nos.11801455; 11971238), China Postdoctoral Science Foundation (Grant No.2019M663459), the Applied Basic Project of Sichuan Province (Grant No.20YYJC2523) and the Fundamental Research Funds of China West Normal University (Grant Nos.17E084; 18B031). |
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| Abstract: |
| In this paper, we introduce an inexact averaged projection algorithm to solve the nonconvex multiple-set split feasibility problem, where the involved sets are semi-algebraic prox-regular sets. By means of the well-known Kurdyka-\L ojasiewicz inequality, we establish the convergence of the proposed algorithm. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2020.05.009 |
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