A new hybrid method for variational inequality and fixed point problems

DOI10.1007/s10013-013-0027-1zbMath1381.47065OpenAlexW1996437214MaRDI QIDQ382139

Nguyen Thi Thu Thuy

Publication date: 18 November 2013

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-013-0027-1

zbMATH Keywords

variational inequalitynonexpansive mappingcommon fixed pointmonotone mappingmetrix projection

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

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• Strong convergence of a hybrid method for monotone variational inequalities and fixed point problems
• Iterative algorithm for common fixed points of infinite family of nonexpansive mappings in Banach spaces
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• Approximating fixed points of infinite nonexpansive mappings by the hybrid method
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• An iteration method for finding the unique solution of a variational inequality problem constrained by the intersection of the sets of fixed points of a countable family of nonexpansive mappings in Hilbert spaces
• Strong convergence of two hybrid extragradient methods for solving equilibrium and fixed point problems
• A new sufficient condition for the strong convergence of Halpern type iterations
• Weak convergence theorem by an extragradient method for nonexpansive mappings and monotone mappings
• Strong Convergence Theorem by a Hybrid Method for Nonexpansive Mappings and Lipschitz-Continuous Monotone Mappings
• Fixed points of nonexpanding maps
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• On the Maximality of Sums of Nonlinear Monotone Operators
• Convergence theorems for nonexpansive mappings and feasibility problems

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