Some results on approximate solutions of variational inequality problems for inverse strongly monotone operators

DOI10.1186/S13663-015-0337-YzbMath1338.49021OpenAlexW1875527513WikidataQ59404182 ScholiaQ59404182MaRDI QIDQ285886

Shigeru Iemoto

Publication date: 19 May 2016

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13663-015-0337-y

zbMATH Keywords

variational inequalityfixed-pointprojected gradient methodinverse strongly monotone operatorcocoercive operatorhybrid steepest descent methodstrongly monotone operator

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Optimality conditions for problems in abstract spaces (49K27) Numerical methods for variational inequalities and related problems (65K15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convergence of hybrid steepest-descent methods for variational inequalities
• On Fixed and Periodic Points Under Contractive Mappings
• FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE
• Zum Prinzip der kontraktiven Abbildung
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• A Fixed Point Theorem for Mappings which do not Increase Distances
• Convex programming in Hilbert space
• Variational inequalities
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• Convex analysis and monotone operator theory in Hilbert spaces

This page was built for publication: Some results on approximate solutions of variational inequality problems for inverse strongly monotone operators