A Korpelevich-like algorithm for variational inequalities

DOI10.1186/1029-242X-2013-76zbMath1295.47101OpenAlexW2151917925WikidataQ59301862 ScholiaQ59301862MaRDI QIDQ395768

Zhitao Wu, Yonghong Yao, Yeong-Cheng Liou, Hong Jun Li

Publication date: 30 January 2014

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-76

zbMATH Keywords

Banach spacessunny nonexpansive retractiongeneralized variational inequalities\(\alpha\)-inverse-strongly accretive mappingsKorpelevich-like algorithm

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25)

Related Items (1)

Auxiliary principle for a system of generalized set-valued nonlinear mixed variational-like inequalities in Banach spaces

Cites Work

• Algorithms of common solutions for variational inclusions, mixed equilibrium problems and fixed point problems
• Strong convergence of an iterative algorithm for variational inequalities in Banach spaces
• An approximate proximal-extragradient type method for monotone variational inequalities
• Systems of generalized nonlinear variational inequalities and its projection methods
• Modified extragradient methods for a system of variational inequalities in Banach spaces
• Weak convergence theorems for nonexpansive mappings and monotone mappings
• A unified implicit algorithm for solving the triple-hierarchical constrained optimization problem
• Two-step projection methods for a system of variational inequality problems in Banach spaces
• On systems of generalized nonlinear variational inequalities in Banach spaces
• An extragradient-type algorithm for non-smooth variational inequalities
• A Unified Hybrid Iterative Method for Solving Variational Inequalities Involving Generalized Pseudocontractive Mappings
• Iterative Algorithms for Nonlinear Operators
• A Strongly Convergent Direct Method for Monotone Variational Inequalities in Hilbert Spaces
• Inequalities in Banach spaces with applications
• A variant of korpelevich’s method for variational inequalities with a new search strategy
• Modified Projection-Type Methods for Monotone Variational Inequalities
• Mann-Type Steepest-Descent and Modified Hybrid Steepest-Descent Methods for Variational Inequalities in Banach Spaces
• Variational inequalities
• Nonexpansive retracts of Banach spaces

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