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- Title
Duality for Non-differentiable Multi-objective Fractional Variational Problem.
- Authors
Kumar, Promila; Sharma, Bharti
- Abstract
In this paper, we have introduced efficiency of order m for a class of non-differentiable multi-objective variational problems in which every component of the objective and constraint function contains a term involving the square root of a certain positive semidefinite quadratic form. Necessary optimality conditions are obtained for this solution concept. Parametric dual of non-differentiable multi-objective fractional variational problem is proposed. Duality theorems are proved to relate efficient solutions of order m for primal problem and its dual. These results are obtained using generalized p--invex functionals of order m. Proposed notion of efficiency of order m leads to stronger results whereas p--invexity of higher order broadens the domain of the problem.
- Subjects
NONDIFFERENTIABLE functions; DUALITY theory (Mathematics); FRACTIONS; VARIATIONAL approach (Mathematics); MATHEMATICAL variables
- Publication
Journal of Mathematical Extension, 2017, Vol 11, Issue 4, p45
- ISSN
1735-8299
- Publication type
Article