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Characterization of weakly sharp solutions of a variational-type inequality with convex functional

  • RAOTA-2016
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Abstract

In this paper, we consider a variational-type inequality and study its weak sharp solutions in terms of a dual gap function, under certain assumptions and convex notion of a functional. Moreover, we aim to constitute the relationship between the minimum principle sufficiency property and weak sharp solutions of the considered variational-type inequality. A numerical result is also constructed to give a better insight for the main derived result.

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Acknowledgements

The authors are grateful to the reviewers for their valuable remarks which greatly improved the results and presentation of the paper.

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Authors and Affiliations

  1. Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand, 826 004, India

    Anurag Jayswal & Shipra Singh

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  1. Anurag Jayswal
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  2. Shipra Singh
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Correspondence to Shipra Singh.

Additional information

This research is financially supported by Council of Scientific and Industrial Research, New Delhi, India, through Grant No. 25(0266)/17/EMR-II.

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Jayswal, A., Singh, S. Characterization of weakly sharp solutions of a variational-type inequality with convex functional. Ann Oper Res 269, 297–315 (2018). https://doi.org/10.1007/s10479-017-2700-3

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  • DOI: https://doi.org/10.1007/s10479-017-2700-3

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