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Optimality and Duality of Pseudolinear Multiobjective Mathematical Programs with Vanishing Constraints

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Recent Trends in Mathematical Modeling and High Performance Computing

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Abstract

In this chapter, we establish necessary and sufficient optimality conditions for a special class of optimization problems called multiobjective mathematical programs with vanishing constraints under pseudolinear assumption. We propose Mond–Weir type dual model for the considered problem and establish usual duality results. Furthermore, we present some examples to validate our results.

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Acknowledgements

We are really thankful to the anonymous referees for their insightful comments and suggestions which led to the present improved version as it stands. The first author is supported by the CSIR-New Delhi, Ministry of Human Resources Development, Government of India, with grant no. 09/013(0583)/2015-EMR-I. The second author is supported by UGC Research Fellowship, through sanction letter no. Ref. No./Math/ Res/Sept.2015/2015-16/918. The research of the third author is supported by the Department of Science and Technology, SERB, New Delhi, India, with grant no. MTR/2018/000121.

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Authors and Affiliations

  1. Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi, India

    Jitendra Kumar Maurya, Avanish Shahi & Shashi Kant Mishra

Authors
  1. Jitendra Kumar Maurya
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  2. Avanish Shahi
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  3. Shashi Kant Mishra
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Editor information

Editors and Affiliations

  1. Department of Applied Mathematics, Inderprastha Engineering College, Ghaziabad, UP, India

    Vinai K. Singh

  2. DIMES, University of Calabria, Rende, Italy

    Yaroslav D. Sergeyev

  3. Faculty of Math and Natural Sciences, Technische Universität Dresden, Dresden, Sachsen, Germany

    Andreas Fischer

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Kumar Maurya, J., Shahi, A., Kant Mishra, S. (2021). Optimality and Duality of Pseudolinear Multiobjective Mathematical Programs with Vanishing Constraints. In: Singh, V.K., Sergeyev, Y.D., Fischer, A. (eds) Recent Trends in Mathematical Modeling and High Performance Computing. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-68281-1_16

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