Generalized viscosity approximation methods in multiobjective optimization problems

Generalized viscosity approximation methods in multiobjective optimization problems

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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:
Keywords: programming: nonlinear, programming: multiple criteria
Abstract:

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.

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