Back to Search
Start Over
OPTIMALITY CONDITIONS AND DUALITY RESULTS FOR A NEW CLASS OF NONCONVEX NONSMOOTH VECTOR OPTIMIZATION PROBLEMS.
- Source :
-
Miskolc Mathematical Notes . 2021, Vol. 22 Issue 1, p49-64. 16p. - Publication Year :
- 2021
-
Abstract
- In this paper, a new class of nonconvex nonsmooth multiobjective programming problems with both inequality and equality constraints defined in a real Banach space is considered. Under the nondifferentiable vectorial (Φρ)w-invexity notion introduced in the paper, optimality conditions and duality results in Mond-Weir sense are established for the considered nonsmooth vector optimization problem. It turns out that the results developed here under (Φρ)w-invexity are applicable for a larger class of nonconvex nondifferentiable multiobjective programming problems than under several generalized convexity notions existing in the literature. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17872405
- Volume :
- 22
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Miskolc Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 150760883
- Full Text :
- https://doi.org/10.18514/MMN.2021.2780