Second-order optimality and duality in vector optimization over cones

  • Surjeet Kaur Suneja Miranda House, University of Delhi, India
  • Sunila Sharma Miranda House, University of Delhi, India
  • Malti Kapoor Motilal Nehru College, University of Delhi, India
DOI: https://doi.org/10.19139/soic.v4i2.171
Keywords: vector optimization over cones, second-order cone-convexity, second-order optimality conditions, second-order duality.

Abstract

In this paper, we introduce the notion of a second-order cone- convex function involving second-order directional derivative. Also, second-order cone-pseudoconvex, second-order cone-quasiconvex and other related functions are defined. Second-order optimality and Mond-Weir type duality results are derived for a vector optimization problem over conesnusing the introduced classes of functions. 

Author Biographies

Surjeet Kaur Suneja, Miranda House, University of Delhi, India
Associate Professor, Department of Mathematics
Sunila Sharma, Miranda House, University of Delhi, India
Associate Professor, Department of Mathematics
Malti Kapoor, Motilal Nehru College, University of Delhi, India
Assistant Professor, Department of Mathematics

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Published
2016-06-01
How to Cite
Suneja, S. K., Sharma, S., & Kapoor, M. (2016). Second-order optimality and duality in vector optimization over cones. Statistics, Optimization & Information Computing, 4(2), 163-173. https://doi.org/10.19139/soic.v4i2.171
Issue
Vol 4 No 2 (2016)
Section
Research Articles
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