Optimality Criteria and Duality for Multiobjective Variational Problems involving Higher Order Derivatives

다국어 초록 (Multilingual Abstract)

A multiobjective variational problem involving higher order derivatives
is considered and Fritz-John and Karush-Kuhn-Tucker type optimality
conditions for this problem are derived. As an application of
Karush-Kuhn-Tucker optimality conditions, Wolfe type dual to
this variational problem is constructed and various duality results
are validated under generalized invexity. Some special cases
are mentioned and it is also pointed out that our results can
be considered as a dynamic generalization of the already existing
results in nonlinear programming.

다국어 초록 (Multilingual Abstract)

A multiobjective variational problem involving higher order derivatives
is considered and Fritz-John and Karush-Kuhn-Tucker type optimality
conditions for this problem are derived. As an application of
Karush-Kuhn-Tucker optimality conditions, Wolfe type dual to
this variational problem is constructed and various duality results
are validated under generalized invexity. Some special cases
are mentioned and it is also pointed out that our results can
be considered as a dynamic generalization of the already existing
results in nonlinear programming.

참고문헌 (Reference)

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