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Optimality Conditions and Duality Involving Arcwise Connected and Generalized Arcwise Connected Functions

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Abstract

Some properties of arcwise connected functions in terms of their directional derivatives are investigated. These properties are then utilized to establish necessary and sufficient optimality conditions for scalar-valued nonlinear programming problems. Mond–Weir type duality results are also proved.

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Authors and Affiliations

  1. Department of Mathematics, S.G.T.B. Khalsa College, University of Delhi, Delhi, India

    D. Bhatia (Reader)

  2. Department of Mathematics, Acharya Narendra Dev College, Gobindpuri, Kalkaji, New Delhi, India

    A. Mehra (Lecturer)

Authors
  1. D. Bhatia
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  2. A. Mehra
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Bhatia, D., Mehra, A. Optimality Conditions and Duality Involving Arcwise Connected and Generalized Arcwise Connected Functions. Journal of Optimization Theory and Applications 100, 181–194 (1999). https://doi.org/10.1023/A:1021725200423

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