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- Title
Sufficiency and duality in nondifferentiable multiobjective programming involving higher order strong invexity.
- Authors
Ahmad, Izhar; Al-Homidan, Suliman
- Abstract
In the present paper, we consider a nondifferentiable multiobjective programming problem with support functions and locally Lipschitz functions. Several sufficient optimality conditions are discussed for a strict minimizer of a nondifferentiable multiobjective programming problem under strong invexity and its generalizations of order σ. Weak and strong duality theorems are established for a Mond-Weir type dual.
- Subjects
NONDIFFERENTIABLE functions; HIGHER order transitions; DUALITY theory (Mathematics); LIPSCHITZ spaces; MATHEMATICAL programming
- Publication
Journal of Inequalities & Applications, 2015, Vol 2015, Issue 1, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-015-0819-9