4.4 Article

CODERIVATIVES AND AUBIN PROPERTIES OF SOLUTION MAPPINGS FOR PARAMETRIC VECTOR VARIATIONAL INEQUALITY PROBLEMS

Journal

JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS
Volume 6, Issue 2, Pages 125-137

Publisher

BIEMDAS ACAD PUBLISHERS INC
DOI: 10.23952/jnva.6.2022.2.09

Keywords

Aubin property; Coderivative; Parametric vector variational inequality; Normal cone; Solution mapping

Funding

  1. Natural Science Foundation of Chongqing [cstc2019jcyj-msxmX0443]
  2. Science and Technology Research Program of Chongqing Municipal Education Commission [KJQN202101328]
  3. Scientific Research Foundation of ChongqingUniversity of Arts and Sciences [R2019FSC16]
  4. Basic Science and Frontier Technology Research of Yongchuan [YCSTC 2018nb1401]
  5. Foundation for High-level Talents of Chongqing Univer-sity of Art and Sciences [P2017SC01]

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This paper deals with sensitivity analysis for a parametric vector variational inequality problem in finite dimensional spaces using advanced tools in modern variational analysis and generalized differentiation. The study focuses on computing the coderivatives of the solution mapping and applying them to establish verifiable conditions for the Aubin property of the solution mapping.
This paper deals with sensitivity analysis for a parametric vector variational inequality problem in finite dimensional spaces by using advanced tools in modern variational analysis and generalized differentiation. We mainly focus on computing the coderivatives of the solution mapping in the parametric vector variational inequality problem and then apply them to establish verifiable conditions for the Aubin property of the solution mapping.

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