Iterative schemes for solving regularized nonconvex mixed equilibrium problems
[ X ]
Tarih
2017
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Yokohama Publications
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This paper introduces a new class of equilibrium problems called regularized nonconvex mixed equilibrium problems involving two nonlinear bifunctions. By using the auxiliary principle technique, some iterative algorithms for solving them are proposed and analyzed. The study of convergence analysis of the proposed iterative algorithms requires only either joint pseudomonotonicity or partially mixed relaxed and strong monotonicity of the bifunctions involved in the considered problem. As a consequence of our main results, we provide the correct versions of the algorithms and results presented in the literature.
Açıklama
Anahtar Kelimeler
Nonconvex equilibrium problems, Regularized mixed equilibrium problems, Auxiliary principle technique, Prox-regularity, Predictor-corrector methods, Nonconvex sets, Convergence analysis
Kaynak
Journal of Nonlinear and Convex Analysis
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
18
Sayı
4
Künye
Ansari, Q. H., Balooee, J., & Dogan, K. (2017). Iterative schemes for solving regularized nonconvex mixed equilibrium problems. Journal of Nonlinear and Convex Analysis, 18(4), 607-622.
