Article ID: | iaor20114897 |
Volume: | 49 |
Issue: | 1 |
Start Page Number: | 179 |
End Page Number: | 192 |
Publication Date: | May 2011 |
Journal: | Computational Optimization and Applications |
Authors: | Chen Zhe |
Keywords: | programming: nonlinear, programming: multiple criteria |
In this paper, we consider an extend‐valued nonsmooth multiobjective optimization problem of finding weak Pareto optimal solutions. We propose a class of vector‐valued generalized viscosity approximation method for solving the problem. Under some conditions, we prove that any sequence generated by this method converges to a weak Pareto optimal solution of the multiobjective optimization problem.