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

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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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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology, Kharagpur, 721302, India

    C. Nahak

  2. Department of Mathematics, University of Central Florida, Orlando, FL, 32816, USA

    Ram N. Mohapatra

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  1. C. Nahak
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  2. Ram N. Mohapatra
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Correspondence to Ram N. Mohapatra.

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Nahak, C., Mohapatra, R.N. Nonsmooth ρ − (η, θ)-invexity in multiobjective programming problems. Optim Lett 6, 253–260 (2012). https://doi.org/10.1007/s11590-010-0239-1

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  • DOI: https://doi.org/10.1007/s11590-010-0239-1

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