Hybrid steepest-descent methods for triple hierarchical variational inequalities

DOI10.1155/2015/980352zbMath1321.47137OpenAlexW1626319237WikidataQ59112940 ScholiaQ59112940MaRDI QIDQ5892113

Ching-Feng Wen, Lu-Chuan Ceng, Abdul Latif, Abdullah Eqal Al-Mazrooei

Publication date: 20 August 2015

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/980352

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Iterative procedures involving nonlinear operators (47J25) Variational and other types of inclusions (47J22)

Related Items

Implicit and explicit iterative methods for mixed equilibria with constraints of system of generalized equilibria and hierarchical fixed point problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Strong convergence of relaxed hybrid steepest-descent methods for triple hierarchical constrained optimization
• Hybrid viscosity CQ method for finding a common solution of a variational inequality, a general system of variational inequalities, and a fixed point problem
• Hybrid viscosity approximation methods for general systems of variational inequalities in Banach spaces
• Strong convergence for an iterative method for the triple-hierarchical constrained optimization problem
• Iterative algorithm for solving triple-hierarchical constrained optimization problem
• Convergence of hybrid steepest-descent methods for variational inequalities
• Approach to common elements of variational inequality problems and fixed point problems via a relaxed extragradient method
• Characterization of \(H\)-monotone operators with applications to variational inclusions
• Strong convergence theorems by a relaxed extragradient method for a general system of variational inequalities
• Two-step iterative algorithms for hierarchical fixed point problems and variational inequality problems
• A new completely general class of variational inclusions with noncompact valued mappings
• Hybrid extragradient method for hierarchical variational inequalities
• Convergence theorem for equilibrium problems and fixed point problems of infinite family of nonexpansive mappings
• A hybrid iterative scheme for mixed equilibrium problems and fixed point problems
• Iterative approaches to convex feasibility problems in Banach spaces
• A new hybrid-extragradient method for generalized mixed equilibrium problems, fixed point problems and variational inequality problems
• Monotone Operators and the Proximal Point Algorithm
• A unified treatment of some iterative algorithms in signal processing and image reconstruction