Inexact averaged projection algorithm for nonconvex multiple-sets split feasibility problem
Received:May 07, 2019  Revised:August 14, 2019
Key Word: Multiple-sets split feasibility problem, Averaged projections, Kurdyka-Lojasiewicz inequality  
Fund ProjectL:Natural Science Foundation of China (Grant No. 11571178, 11801455), Fundamental Research Funds of China West Normal University (Grant No. 17E084, 18B031).
Author NameAffiliationE-mail
Ke Guo School of Mathematics and Information, China West Normal University keguo2014@126.com 
Chunrong Zhu School of Mathematics and Information, China West Normal University  
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Abstract:
      In this paper, we introduce an inexact averaged projection algorithm to solve the nonconvex multiple-sets split feasibility problem, where the involved sets are semi-algebraic prox-regular sets. By means of the well-known Kurdyka-Lojasiewicz inequality, we establish the convergence of the proposed algorithm.
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