Taiwanese Journal of Mathematics
- Taiwanese J. Math.
- Volume 14, Number 2 (2010), 463-478.
VISCOSITY METHOD FOR HIERARCHICAL FIXED POINT APPROACH TO VARIATIONAL INEQUALITIES
A viscosity method for a hierarchical fixed point approach to variational inequality problems is presented. This method is used to solve variational inequalities where the involving operators are complements of nonexpansive mappigs and the solutions are sought in the set of the fixed points of another nonexpansive mapping. Such variational inequalities include monotone inclusions and convex optimization problems to be solved over the fixed point sets of nonexpansive mappings.
Taiwanese J. Math., Volume 14, Number 2 (2010), 463-478.
First available in Project Euclid: 18 July 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 47H09: Contraction-type mappings, nonexpansive mappings, A-proper mappings, etc.
Secondary: 58E35: Variational inequalities (global problems) 47H10: Fixed-point theorems [See also 37C25, 54H25, 55M20, 58C30] 65J25
Xu, Hong-Kun. VISCOSITY METHOD FOR HIERARCHICAL FIXED POINT APPROACH TO VARIATIONAL INEQUALITIES. Taiwanese J. Math. 14 (2010), no. 2, 463--478. doi:10.11650/twjm/1500405802. https://projecteuclid.org/euclid.twjm/1500405802