Sufficient Conditions for Global Minima of Suitably Convex Functionals from Variational and Control Theory
From MaRDI portal
Publication:4134490
DOI10.1137/1019037zbMath0361.49011OpenAlexW2068372010MaRDI QIDQ4134490
Publication date: 1977
Published in: SIAM Review (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/1019037
Convex programming (90C25) Variational methods applied to PDEs (35A15) Methods involving semicontinuity and convergence; relaxation (49J45) Methods of successive quadratic programming type (90C55) Optimality conditions for problems in abstract spaces (49K27)
Related Items (39)
Optimality conditions and duality in fractional programming involving semilocally preinvex and related functions ⋮ A Chernoff-Savage result for shape: On the non-admissibility of pseudo-Gaussian methods ⋮ Unnamed Item ⋮ Semilocal pseudolinearity and efficiency ⋮ Locally connected sets and functions ⋮ Duality in Nonlinear Programming involving Semilocally B-vex and related functions ⋮ Semilocal \(E\)-preinvexity and its applications in nonlinear multiple objective fractional programming ⋮ Characterization of nonsmooth quasiconvex and pseudoconvex functions ⋮ Constraint qualifications in nonsmooth optimization: Classification and inter-relations ⋮ Optimality conditions for mathematical programs with equilibrium constraints using directional convexificators ⋮ Sufficient Optimality Conditions for a Robust Multiobjective Problem ⋮ A class of semilocal \(E\)-preinvex functions and its applications in nonlinear programming ⋮ Semistrictly and neatly quasiconvex programming using lower global subdifferentials ⋮ Optimality conditions for MPECs in terms of directional upper convexifactors ⋮ Optimality and duality in nonlinear programming involving semilocally preinvex and related functions ⋮ A survey of recent[1985-1995advances in generalized convexity with applications to duality theory and optimality conditions] ⋮ Optimality and duality in fractional multiple objective programming involving semilocally preinvex and related functions. ⋮ Subvexormal functions and subvex functions ⋮ Optimality conditions and duality in multiobjective nonlinear programming involving semilocally b-preinvex and related functions ⋮ Generalizations of convex and related functions ⋮ Optimality and Duality in Fractional Programming Involving Semilocally Convex and Related Functions ⋮ Optimality conditions and duality in multiple objective programming involving semilocally convex and related functions ⋮ Characterization of (weakly/properly/robust) efficient solutions in nonsmooth semi-infinite multiobjective optimization using convexificators ⋮ Duality in nonlinear programming involving semilocally convex and related functions ⋮ Programming with semilocally convex functions ⋮ Optimality for nonsmooth fractional multiple objective programming ⋮ Multiobjective fractional programming involving generalized semilocally V-type I-preinvex and related functions ⋮ Optimality and duality in nonlinear programming involving semilocally B-preinvex and related functions ⋮ Proximal proper efficiency for minimisation with respect to normal cones ⋮ Vector optimization with generalized cone locally connected functions ⋮ Optimality conditions and duality in multiobjective nonlinear programming involving \(\rho\)-semilocally preinvex and related functions ⋮ Sufficient conditions for asymptotic optimal control ⋮ Generalization of convex and related functions ⋮ On properties of geodesic semilocal E-preinvex functions ⋮ On nonlinear multiple objective fractional programming involving semilocally type-I univex functions ⋮ Duality in multiobjective nonlinear programming involving semilocally convex and related functions ⋮ Multiple objective fractional programming involving semilocally type I-preinvex and related functions ⋮ Semilocal E-convexity and semilocal E-convex programming ⋮ Approximate proper efficiency for multiobjective optimization problems
This page was built for publication: Sufficient Conditions for Global Minima of Suitably Convex Functionals from Variational and Control Theory