Title :
Strong convergence theorems of relaxed hybrid steepest-descent methods for variational inequalities
Author_Institution :
Coll. of Comput. Sci. & Inf. Eng., Chongqing Technol. & Bus. Univ., Chongqing, China
Abstract :
Abstract-We suggest and analysis a three-step relaxed hybrid steepest-descent method for finding the solution of the variational inequalities, prove a strong convergence theorems for the method under some suitable conditions. Our result can be considered as an extension and improvement of the previously known results.
Keywords :
convergence of numerical methods; gradient methods; variational techniques; convergence theorem; hybrid steepest-descent method; variational inequality; nonexpansive mappings; relaxed (γ, r)-cocoercive mapping; relaxed hybrid steepest - descent method; variational inequality;
Conference_Titel :
Mechanic Automation and Control Engineering (MACE), 2011 Second International Conference on
Conference_Location :
Hohhot
Print_ISBN :
978-1-4244-9436-1
DOI :
10.1109/MACE.2011.5987018
