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Triple Hierarchical Variational Inequalities with Constraints of Mixed Equilibria, Variational Inequalities, Convex Minimization, and Hierarchical Fixed Point Problems
المؤلفون المشاركون
Pang, Chin-Tzong
Ceng, Lu-Chuan
Wen, Ching-Feng
Liao, Cheng-Wen
المصدر
Journal of Applied Mathematics
العدد
المجلد 2014، العدد 2014 (31 ديسمبر/كانون الأول 2014)، ص ص. 1-25، 25ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2014-05-26
دولة النشر
مصر
عدد الصفحات
25
التخصصات الرئيسية
الملخص EN
We introduce and analyze a hybrid iterative algorithm by virtue of Korpelevich's extragradient method, viscosity approximation method, hybrid steepest-descent method, and averaged mapping approach to the gradient-projection algorithm.
It is proven that under appropriate assumptions, the proposed algorithm converges strongly to a common element of the fixed point set of infinitely many nonexpansive mappings, the solution set of finitely many generalized mixed equilibrium problems (GMEPs), the solution set of finitely many variational inequality problems (VIPs), the solution set of general system of variational inequalities (GSVI), and the set of minimizers of convex minimization problem (CMP), which is just a unique solution of a triple hierarchical variational inequality (THVI) in a real Hilbert space.
In addition, we also consider the application of the proposed algorithm to solve a hierarchical fixed point problem with constraints of finitely many GMEPs, finitely many VIPs, GSVI, and CMP.
The results obtained in this paper improve and extend the corresponding results announced by many others.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Ceng, Lu-Chuan& Liao, Cheng-Wen& Pang, Chin-Tzong& Wen, Ching-Feng. 2014. Triple Hierarchical Variational Inequalities with Constraints of Mixed Equilibria, Variational Inequalities, Convex Minimization, and Hierarchical Fixed Point Problems. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-25.
https://search.emarefa.net/detail/BIM-447986
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Ceng, Lu-Chuan…[et al.]. Triple Hierarchical Variational Inequalities with Constraints of Mixed Equilibria, Variational Inequalities, Convex Minimization, and Hierarchical Fixed Point Problems. Journal of Applied Mathematics No. 2014 (2014), pp.1-25.
https://search.emarefa.net/detail/BIM-447986
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Ceng, Lu-Chuan& Liao, Cheng-Wen& Pang, Chin-Tzong& Wen, Ching-Feng. Triple Hierarchical Variational Inequalities with Constraints of Mixed Equilibria, Variational Inequalities, Convex Minimization, and Hierarchical Fixed Point Problems. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-25.
https://search.emarefa.net/detail/BIM-447986
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-447986
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
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