Some exact penalty results for nonlinear programs and mathematical programs with equilibrium constraints
From MaRDI portal
Publication:1407235
DOI10.1023/A:1024787424532zbMath1033.90087OpenAlexW315148139MaRDI QIDQ1407235
Publication date: 15 September 2003
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1024787424532
error boundsHölder continuitynonlinear complementarity problemssubanalytic functionssubanalytic setsstrong convexityMathematical programs with equilibrium constraints
Nonconvex programming, global optimization (90C26) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)
Related Items
Bounds for the remainder in Simpson's inequality via \(n\)-polynomial convex functions of higher order using Katugampola fractional integrals ⋮ On generalized strongly \(p\)-convex functions of higher order ⋮ New trends in general variational inequalities ⋮ Higher order strongly general convex functions and variational inequalities ⋮ Higher Order Efficiency, Saddle Point Optimality, and Duality for Vector Optimization Problems ⋮ Characterizations of the Solution Sets and Sufficient Optimality Criteria via Higher-Order Strong Convexity ⋮ Optimality conditions for strict minimizers of higher-order in semi-infinite multi-objective optimization ⋮ Optimality and duality theorems in nonsmooth multiobjective optimization ⋮ Second-order optimality conditions for nonlinear programs and mathematical programs ⋮ Strict global minimizers and higher-order generalized strong invexity in multiobjective optimization ⋮ Mathematical programs with vanishing constraints involving strongly invex functions ⋮ Hermite-Hadamard and Fejér-type inequalities for strongly reciprocally \((p, h)\)-convex functions of higher order ⋮ Some interesting inequalities for the class of generalized convex functions of higher order ⋮ Some new integral inequalities for higher-order strongly exponentially convex functions ⋮ General biconvex functions and bivariational inequalities ⋮ Optimality and duality for \(E\)-minimax fractional programming: application to multiobjective optimization ⋮ A smoothing Newton method for mathematical programs governed by second-order cone constrained generalized equations ⋮ New constraint qualifications for mathematical programs with second-order cone complementarity constraints ⋮ On solving difference of convex functions programs with linear complementarity constraints ⋮ Some trapezium-like inequalities involving functions having strongly \(n\)-polynomial preinvexity property of higher order ⋮ Higher order strict global minimizers in non-differentiable multiobjective optimization involving higher order invexity and variational inequality ⋮ Strongly convex set-valued maps ⋮ A majorized penalty approach to inverse linear second order cone programming problems ⋮ A new smoothing method for mathematical programs with complementarity constraints based on logarithm-exponential function ⋮ Inequalities for estimations of integrals related to higher-order strongly \(n\)-polynomial preinvex functions ⋮ An inexact Newton method for stationary points of mathematical programs constrained by parameterized quasi-variational inequalities ⋮ Higher order strongly \(m\)-convex functions ⋮ Characterizations of higher order strongly generalized convex functions ⋮ Optimality and duality for nonsmooth multiobjective optimization problems ⋮ Unnamed Item ⋮ GLOBAL ERROR BOUNDS WITH EXPONENTS FOR MULTIFUNCTIONS WITH SET CONSTRAINTS ⋮ Optimality and mixed saddle point criteria in multiobjective optimization ⋮ Hybrid approach with active set identification for mathematical programs with complementarity constraints ⋮ Exact penalty functions and calmness for mathematical programming under nonlinear perturbations ⋮ A unifying theory of exactness of linear penalty functions ⋮ On strongly generalized convex functions of higher order ⋮ Properties of higher order preinvex functions ⋮ Convergence properties of a smoothing approach for mathematical programs with second-order cone complementarity constraints ⋮ Estimates of upper bound for a \(k\) th order differentiable functions involving Riemann-Liouville integrals via higher order strongly \(h\)-preinvex functions ⋮ Sufficient optimality conditions and duality for nonsmooth multiobjective optimization problems via higher order strong convexity ⋮ Strong Geodesic Convex Functions of Order m ⋮ Homotopy method for solving mathematical programs with bounded box-constrained variational inequalities ⋮ General preinvex functions and variational-like inequalities ⋮ Some new classes of higher order strongly generalized preinvex functions ⋮ On properties of the bilinear penalty function method for mathematical programs with semidefinite cone complementarity constraints
Cites Work