Nonsmooth ρ - (η, θ)‐invexity in multiobjective programming problems

Nonsmooth ρ - (η, θ)‐invexity in multiobjective programming problems

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Article ID: iaor2012652
Volume: 6
Issue: 2
Start Page Number: 253
End Page Number: 260
Publication Date: Feb 2012
Journal: Optimization Letters
Authors: ,
Keywords: programming: nonlinear
Abstract:

In this paper we extend Reiland’s results for a nonlinear (single objective) optimization problem involving nonsmooth Lipschitz functions to a nonlinear multiobjective optimization problem (MP) for ρ − (η, θ)‐invex functions. The generalized form of the Kuhn–Tucker optimality theorem and the duality results are established for (MP).

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