Optimality conditions for nonsmooth mathematical programs with equilibrium constraints, using convexificators
In this paper, we deal with constraint qualifications, stationary concepts and optimality
conditions for a nonsmooth mathematical program with equilibrium constraints (MPEC). The …
conditions for a nonsmooth mathematical program with equilibrium constraints (MPEC). The …
Necessary and sufficient conditions for nonsmooth mathematical programs with equilibrium constraints
N Movahedian, S Nobakhtian - Nonlinear Analysis: Theory, Methods & …, 2010 - Elsevier
In this paper we consider a mathematical program with equilibrium constraints (MPEC)
formulated as a mathematical program with complementarity constraints. Then, we derive a …
formulated as a mathematical program with complementarity constraints. Then, we derive a …
Asymptotic regularity for Lipschitzian nonlinear optimization problems with applications to complementarity constrained and bilevel programming
P Mehlitz - Optimization, 2023 - Taylor & Francis
Asymptotic stationarity and regularity conditions turned out to be quite useful to study the
qualitative properties of numerical solution methods for standard nonlinear and …
qualitative properties of numerical solution methods for standard nonlinear and …
Nonsmooth mathematical programs with vanishing constraints in Banach spaces
In this chapter, we study the optimization problems with equality, inequality, and vanishing
constraints in a Banach space where the objective function and the binding constraints are …
constraints in a Banach space where the objective function and the binding constraints are …
Optimality and duality for nonsmooth semi-infinite mathematical program with equilibrium constraints involving generalized invexity of order σ> 0
BC Joshi - RAIRO-Operations Research, 2021 - rairo-ro.org
In this paper, we derive sufficient condition for global optimality for a nonsmooth semi-infinite
mathematical program with equilibrium constraints involving generalized invexity of order σ> …
mathematical program with equilibrium constraints involving generalized invexity of order σ> …
Duality for nonsmooth mathematical programming problems with equilibrium constraints
In this paper, we consider the mathematical programs with equilibrium constraints (MPECs)
in Banach space. The objective function and functions in the constraint part are assumed to …
in Banach space. The objective function and functions in the constraint part are assumed to …
Some non-smooth optimality results for optimization problems with vanishing constraints via Dini–Hadamard derivative
GH Shirdel, M Zeinali, A Ansari Ardali - Journal of Applied Mathematics …, 2022 - Springer
This research examines a wide class of optimization problems that are known in the
literature as mathematical programs with vanishing constraints (MPVC for short). First, we …
literature as mathematical programs with vanishing constraints (MPVC for short). First, we …
Optimality conditions for nonsmooth equilibrium problems via Hadamard directional derivative
In this paper, we consider a mathematical program with equilibrium constraints (MPEC)
formulated as a mathematical program with complementarity constraints. We obtain …
formulated as a mathematical program with complementarity constraints. We obtain …