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Stability and well-posedness for parametric quasivariational inequality problem

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  • Monika Mehta

    (University of Delhi)

  • Guneet Bhatia

    (University of Delhi)

  • Ruchi Kaur

    (University of Delhi)

Abstract

In this paper, we perform a general analysis of stability and well-posedness for a parametric quasivariational inequality problem. Various sufficient conditions ensuring stability, in terms of semicontinuity and closedness of the parametric solution set map are established. Metric characterizations of Levitin–Polyak (LP) well-posedness via approximate solutions sets are also derived. A key result characterizing LP well-posedness in terms of the upper semicontinuity of the approximate solution set has been proved.

Suggested Citation

  • Monika Mehta & Guneet Bhatia & Ruchi Kaur, 2025. "Stability and well-posedness for parametric quasivariational inequality problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 101(3), pages 529-548, June.
    • Handle: RePEc:spr:mathme:v:101:y:2025:i:3:d:10.1007_s00186-025-00897-0
    DOI: 10.1007/s00186-025-00897-0
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