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http://dx.doi.org/10.14317/jami.2011.29.3_4.603

A GENERAL ITERATIVE METHOD BASED ON THE HYBRID STEEPEST DESCENT SCHEME FOR VARIATIONAL INCLUSIONS, EQUILIBRIUM PROBLEMS  

Tian, Ming (College of Science, Civil Aviation University of China)
Lan, Yun Di (College of Science, Civil Aviation University of China)
Publication Information
Journal of applied mathematics & informatics / v.29, no.3_4, 2011 , pp. 603-619 More about this Journal
Abstract
To the best of our knowledge, it would probably be the first time in the literature that we clarify the relationship between Yamada's method and viscosity iteration correctly. We design iterative methods based on the hybrid steepest descent algorithms for solving variational inclusions, equilibrium problems. Our results unify, extend and improve the corresponding results given by many others.
Keywords
variational inclusion; equilibrium problem; strict pseudo-contractions; fixed point; variational inequality;
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