Mixed type symmetric and self duality for multiobjective variational problems with support functions

Yugoslav Journal of Operations Research

关键词: efficiency;    mixed type symmetric duality;    mixed type self duality;    natural boundary values;    multiobjective nonlinear programming;    convexity-convexity;    pseudoconvexity-pseudoconcavity;    support functions;   

DOI  :  10.2298/YJOR110517009H

来源: DOAJ

【 摘 要 】

In this paper, a pair of mixed type symmetric dual multiobjective variationalproblems containing support functions is formulated. This mixed formulationunifies two existing pairs Wolfe and Mond-Weir type symmetric dualmultiobjective variational problems containing support functions. For thispair of mixed type nondifferentiable multiobjective variational problems,various duality theorems are established under convexity-concavity andpseudoconvexity-pseudoconcavity of certain combination of functionalsappearing in the formulation. A self duality theorem under additionalassumptions on the kernel functions that occur in the problems is validated.A pair of mixed type nondifferentiable multiobjective variational problemwith natural boundary values is also formulated to investigate variousduality theorems. It is also pointed that our duality theorems can be viewedas dynamic generalizations of the corresponding (static) symmetric and selfduality of multiobjective nonlinear programming with support functions.

【 授权许可】

Unknown