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Exponential type vector variational-like inequalities and vector optimization problems with exponential type invexities

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Abstract

A new class of exponential form of vector variational-like inequality problems is introduced, and then the equivalence among (weakly) efficient solutions, vector critical points of vector optimization problem and the solutions of vector variational-like inequalities under the framework of (p,r)-invexity is established. To the best our knowledge, the presented results are new and highly application oriented to other results based on generalized invexities to the context of optimization problems in the literature.

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Acknowledgements

The authors are greatly indebted to the reviewers for their valuable comments and suggestions leading to revised version of the original draft for this paper.

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Authors and Affiliations

  1. Department of Applied Mathematics, Indian School of Mines, Dhanbad, 826 004, Jharkhand, India

    Anurag Jayswal & Sarita Choudhury

  2. International Publications USA, 3400 S Brahma Blvd Suite 31B, Kingsville, TX, 78363, USA

    Ram U. Verma

Authors
  1. Anurag Jayswal
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  2. Sarita Choudhury
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  3. Ram U. Verma
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Corresponding author

Correspondence to Ram U. Verma.

Additional information

The research of the first author is financially supported by the University Grant Commission, New Delhi, India through grant no.: F. No. 41-801/2012(SR).

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Jayswal, A., Choudhury, S. & Verma, R.U. Exponential type vector variational-like inequalities and vector optimization problems with exponential type invexities. J. Appl. Math. Comput. 45, 87–97 (2014). https://doi.org/10.1007/s12190-013-0712-y

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  • DOI: https://doi.org/10.1007/s12190-013-0712-y

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