On Maingé's approach for hierarchical optimization problems

DOI10.1007/S10957-011-9982-4zbMath1267.90154OpenAlexW2013796833MaRDI QIDQ1762410

Satit Saejung, Rapeepan Kraikaew

Publication date: 26 November 2012

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

Full work available at URL: https://doi.org/10.1007/s10957-011-9982-4

zbMATH Keywords

fixed pointsvariational inequalitiesnonexpansive mappingshierarchical optimization problems

Mathematics Subject Classification ID

Nonlinear programming (90C30) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (6)

Some existence and convergence theorems for solving a system of hierarchical optimization problems ⋮ Existence and algorithm for the systems of hierarchical variational inclusion problems ⋮ On the hierarchical variational inclusion problems in Hilbert spaces ⋮ A viscosity method with no spectral radius requirements for the split common fixed point problem ⋮ Strong convergence for a strongly quasi-nonexpansive sequence in Hilbert spaces ⋮ A unified algorithm for finding a fixed point of demicontractive mappings and its application to split common fixed point problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convergence of hybrid steepest-descent methods for variational inequalities
• The viscosity approximation process for quasi-nonexpansive mappings in Hilbert spaces
• Convergence analysis of modified hybrid steepest-descent methods with variable parameters for variational inequalities
• New approach to solving a system of variational inequalities and hierarchical problems
• On the Mann iteration process in a Hilbert space
• Factorization of Minty and Stampacchia variational inequality systems
• Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
• An example on the Mann iteration method for Lipschitz pseudocontractions
• Iterative Algorithms for Nonlinear Operators
• Hybrid Steepest Descent Method for Variational Inequality Problem over the Fixed Point Set of Certain Quasi-nonexpansive Mappings
• Fixed Points by a New Iteration Method
• Variational inequalities
• Semicontractive and semiaccretive nonlinear mappings in Banach spaces
• Projection methods, algorithms, and a new system of nonlinear variational inequalities

This page was built for publication: On Maingé's approach for hierarchical optimization problems