Multi-step implicit iterative methods with regularization for minimization problems and fixed point problems

DOI10.1186/1029-242X-2013-240zbMath1281.49028WikidataQ59301450 ScholiaQ59301450MaRDI QIDQ2637545

Ching-Feng Wen, Lu-Chuan Ceng, Qamrul Hasan Ansari

Publication date: 12 February 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

regularizationminimization problemnonexpansive mappingOpial's conditionKadec-Klee propertyimplicit hybrid methodinverse-strong monotonicitymulti-step implicit iterative method

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30)

Related Items

Methods for solving constrained convex minimization problems and finding zeros of the sum of two operators in Hilbert spaces ⋮ Iterative algorithms with regularization for hierarchical variational inequality problems and convex minimization problems ⋮ Unnamed Item ⋮ Regularized gradient-projection methods for finding the minimum-norm solution of the constrained convex minimization problem ⋮ Strong convergence of a self-adaptive method for the split feasibility problem ⋮ Regularized gradient-projection methods for the constrained convex minimization problem and the zero points of maximal monotone operator ⋮ Generalized extragradient iterative methods for solving split feasibility and fixed point problems in Hilbert spaces

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