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

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Listed:
  • Anurag Jayswal

    (Indian Institute of Technology (Indian School of Mines))

  • Shipra Singh

    (Indian Institute of Technology (Indian School of Mines))

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.

Suggested Citation

  • Anurag Jayswal & Shipra Singh, 2018. "Characterization of weakly sharp solutions of a variational-type inequality with convex functional," Annals of Operations Research, Springer, vol. 269(1), pages 297-315, October.
    • Handle: RePEc:spr:annopr:v:269:y:2018:i:1:d:10.1007_s10479-017-2700-3
    DOI: 10.1007/s10479-017-2700-3
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    References listed on IDEAS

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    1. Lu-Chuan Ceng & Shuechin Huang, 2010. "Existence theorems for generalized vector variational inequalities with a variable ordering relation," Journal of Global Optimization, Springer, vol. 46(4), pages 521-535, April.
    2. X.Q. Yang & J.C. Yao, 2002. "Gap Functions and Existence of Solutions to Set-Valued Vector Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 115(2), pages 407-417, November.
    3. M. Durea & R. Strugariu, 2011. "Existence conditions for generalized vector variational inequalities," Annals of Operations Research, Springer, vol. 191(1), pages 255-262, November.
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    Cited by:

    1. Shipra Singh & Savin Treanţă, 2021. "Characterization results of weak sharp solutions for split variational inequalities with application to traffic analysis," Annals of Operations Research, Springer, vol. 302(1), pages 265-287, July.

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