Some exact penalty results for nonlinear programs and mathematical programs with equilibrium constraints

From MaRDI portal
Publication:1407235

DOI10.1023/A:1024787424532zbMath1033.90087OpenAlexW315148139MaRDI QIDQ1407235

D. Massart

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




Related Items

Bounds for the remainder in Simpson's inequality via \(n\)-polynomial convex functions of higher order using Katugampola fractional integralsOn generalized strongly \(p\)-convex functions of higher orderNew trends in general variational inequalitiesHigher order strongly general convex functions and variational inequalitiesHigher Order Efficiency, Saddle Point Optimality, and Duality for Vector Optimization ProblemsCharacterizations of the Solution Sets and Sufficient Optimality Criteria via Higher-Order Strong ConvexityOptimality conditions for strict minimizers of higher-order in semi-infinite multi-objective optimizationOptimality and duality theorems in nonsmooth multiobjective optimizationSecond-order optimality conditions for nonlinear programs and mathematical programsStrict global minimizers and higher-order generalized strong invexity in multiobjective optimizationMathematical programs with vanishing constraints involving strongly invex functionsHermite-Hadamard and Fejér-type inequalities for strongly reciprocally \((p, h)\)-convex functions of higher orderSome interesting inequalities for the class of generalized convex functions of higher orderSome new integral inequalities for higher-order strongly exponentially convex functionsGeneral biconvex functions and bivariational inequalitiesOptimality and duality for \(E\)-minimax fractional programming: application to multiobjective optimizationA smoothing Newton method for mathematical programs governed by second-order cone constrained generalized equationsNew constraint qualifications for mathematical programs with second-order cone complementarity constraintsOn solving difference of convex functions programs with linear complementarity constraintsSome trapezium-like inequalities involving functions having strongly \(n\)-polynomial preinvexity property of higher orderHigher order strict global minimizers in non-differentiable multiobjective optimization involving higher order invexity and variational inequalityStrongly convex set-valued mapsA majorized penalty approach to inverse linear second order cone programming problemsA new smoothing method for mathematical programs with complementarity constraints based on logarithm-exponential functionInequalities for estimations of integrals related to higher-order strongly \(n\)-polynomial preinvex functionsAn inexact Newton method for stationary points of mathematical programs constrained by parameterized quasi-variational inequalitiesHigher order strongly \(m\)-convex functionsCharacterizations of higher order strongly generalized convex functionsOptimality and duality for nonsmooth multiobjective optimization problemsUnnamed ItemGLOBAL ERROR BOUNDS WITH EXPONENTS FOR MULTIFUNCTIONS WITH SET CONSTRAINTSOptimality and mixed saddle point criteria in multiobjective optimizationHybrid approach with active set identification for mathematical programs with complementarity constraintsExact penalty functions and calmness for mathematical programming under nonlinear perturbationsA unifying theory of exactness of linear penalty functionsOn strongly generalized convex functions of higher orderProperties of higher order preinvex functionsConvergence properties of a smoothing approach for mathematical programs with second-order cone complementarity constraintsEstimates of upper bound for a \(k\) th order differentiable functions involving Riemann-Liouville integrals via higher order strongly \(h\)-preinvex functionsSufficient optimality conditions and duality for nonsmooth multiobjective optimization problems via higher order strong convexityStrong Geodesic Convex Functions of Order mHomotopy method for solving mathematical programs with bounded box-constrained variational inequalitiesGeneral preinvex functions and variational-like inequalitiesSome new classes of higher order strongly generalized preinvex functionsOn properties of the bilinear penalty function method for mathematical programs with semidefinite cone complementarity constraints



Cites Work