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Approximate generalized proximal-type method for convex vector optimization problem in Banach spaces
- Source :
-
Computers & Mathematics with Applications . Apr2009, Vol. 57 Issue 7, p1196-1203. 8p. - Publication Year :
- 2009
-
Abstract
- Abstract: In this paper, we consider a convex vector optimization problem of finding weak Pareto optimal solutions for an extended vector-valued map from a uniformly convex and uniformly smooth Banach space to a real Banach space, with respect to the partial order induced by a closed, convex and pointed cone with a nonempty interior. We propose an inexact vector-valued proximal-type point algorithm based on a Lyapunov functional when the iterates are computed approximately and prove the sequence generated by the algorithm weakly converges to a weak Pareto optimal solution of the vector optimization problem under some mild conditions. Our results improve and generalize some known results. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 08981221
- Volume :
- 57
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Computers & Mathematics with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 36971444
- Full Text :
- https://doi.org/10.1016/j.camwa.2008.11.017