Mixed type duality for multiobjective variational problems

[摘要] The concept of mixed-type duality has been extended to the class of multiobjective variational problems. A number of duality relations are proved to relate the efficient solutions of the primal and its mixed-type dual problems. The results are obtained for rho -convex (generalized rho -convex) functions. These studies have been generalized to the case of rho -invex (generalized rho -invex) functions. Our results apparently generalize a fairly large number of duality results previously obtained for finite-dimensional nonlinear programming problems under various convexity assumptions. (C) 2000 Academic Press.

[发布日期] 2000-12-15

[关键词] mixed-type dual;efficient solution;p-convex;p-invex;multiobjective programming