Optimality and duality for nondifferentiable multiobjective variational problems

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Abstract

The concept of efficiency is used to formulate duality for nondifferentiable multiobjective variational problems. Wolfe and Mond-Weir type vector dual problems are formulated. By using the generalized Schwarz inequality and a characterization of efficient solution, we established the weak, strong, and converse duality theorems under generalized (F, ρ)-convexity assumptions. © 2002 Elsevier Science (USA). All rights reserved.

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Kim, D. S., & Kim, A. L. (2002). Optimality and duality for nondifferentiable multiobjective variational problems. Journal of Mathematical Analysis and Applications, 274(1), 255–278. https://doi.org/10.1016/S0022-247X(02)00298-6

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