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Convexifactors, Generalized Convexity, and Optimality Conditions

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Abstract

The recently introduced notion of a convexifactor is further studied, and quasiconvex and pseudoconvex functions are characterized in terms of convexifactors. As an application to a chain rule, a necessary optimality condition is deduced for an inequality constrained mathematical programming problem.

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Authors and Affiliations

  1. Postdoctoral Fellow, Indian Statistical Institute, New Delhi, India

    J. Dutta

  2. Department of Mathematics, Indian Institute of Technology, New Delhi, India

    S. Chandra (Professor)

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  1. J. Dutta
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  2. S. Chandra
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Dutta, J., Chandra, S. Convexifactors, Generalized Convexity, and Optimality Conditions. Journal of Optimization Theory and Applications 113, 41–64 (2002). https://doi.org/10.1023/A:1014853129484

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