Wolfe Type Duality for Nonsmooth Optimization Problems with Vanishing Constraints

Authors

  • Nader kanzi Payame Noor University
  • Kamal Fallahi Payame Noor University
  • Marjan Ghobadzadeh Payame Noor University

DOI:

https://doi.org/10.30495/jme.v0i0.2110

Keywords:

Vanishing constraints, Duality results, Optimality conditions, Clarke subdifferential, Constraint qualification

Abstract

‎In this paper‎, ‎we formulate and study the duality problems in Wolfe type for the mathematical programs with vanishing constraints in nonsmooth case‎, ‎whereas Mishra \emph{et al.} (Ann Oper Res 243(1):249–272‎, ‎2016) investigated it in smooth case‎. ‎Also‎, ‎we derive the weak‎, ‎strong‎, ‎strict converse duality results for the problems with Lipschitzian data utilizing Clarke subdifferential‎.

Author Biographies

Nader kanzi, Payame Noor University

Department of Mathematics, Payame Noor University

Kamal Fallahi, Payame Noor University

Department of Mathematics, Payame Noor University

Marjan Ghobadzadeh, Payame Noor University

Department of Mathematics, Payame Noor University

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Published

2021-11-25

Issue

Vol. 16

Section

Vol. 16, No. 9, (2022)

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