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Open AccessArticle

Split Systems of Nonconvex Variational Inequalities and Fixed Point Problems on Uniformly Prox-Regular Sets

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School of Mathematics and Statistics, Lingnan Normal University, Zhanjiang 524048, China
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Department of Mathematics and Informatics, University Politehnica of Bucharest, 060042 Bucharest, Romania
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The Key Laboratory of Intelligent Information and Big Data Processing of NingXia Province, North Minzu University, Yinchuan 750021, China
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(10), 1279; https://doi.org/10.3390/sym11101279
Received: 8 September 2019 / Revised: 30 September 2019 / Accepted: 8 October 2019 / Published: 12 October 2019
(This article belongs to the Special Issue Advance in Nonlinear Analysis and Optimization)
In this paper, we studied variational inequalities and fixed point problems in nonconvex cases. By the projection method over prox-regularity sets, the convergence of the suggested iterative scheme was established under some mild rules. View Full-Text
Keywords: split problems; prox-regularity sets; fixed point problems; nonconvex variational inequalities; strong convergence split problems; prox-regularity sets; fixed point problems; nonconvex variational inequalities; strong convergence
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Chen, J.; Pitea, A.; Zhu, L.-J. Split Systems of Nonconvex Variational Inequalities and Fixed Point Problems on Uniformly Prox-Regular Sets. Symmetry 2019, 11, 1279.

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