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

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

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.

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Veröffentlicht in:Symmetry (Basel) 2019-10, Vol.11 (10), p.1279
Hauptverfasser: Chen, Jinzuo, Pitea, Ariana, Zhu, Li-Jun
Format: Artikel
Sprache:eng
Schlagworte:
Decomposition
Equilibrium
Estimates
fixed point problems
Inequalities
Inequality
nonconvex variational inequalities
prox-regularity sets
split problems
strong convergence
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Beschreibung
Zusammenfassung: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.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym11101279