zbMath0887.49001MaRDI QIDQ3126366
Stefan Rolewicz, Diethard Pallaschke
Publication date: 25 March 1997
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Duality for composite optimization problem within the framework of abstract convexity ⋮
Regularly abstract convex functions with respect to the set of Lipschitz continuous concave functions ⋮
TWO POROSITY RESULTS IN MONOTONIC ANALYSIS ⋮
Quasi-relative interiors for graphs of convex set-valued mappings ⋮
Duality for quasiconvex minimization over closed convex cones ⋮
Topical and sub-topical functions, downward sets and abstract convexity ⋮
On the coincidence of some subdifferentials in the class of α(.)-paraconvex functions ⋮
A generalized Ekeland vector variational principle and its applications in optimization ⋮
Saddle representations of positively homogeneous functions by linear functions ⋮
Jensen's inequality for \(g\)-convex function under \(g\)-expectation ⋮
Fenchel-Moreau Conjugation Inequalities with Three Couplings and Application to Stochastic Bellman Equation ⋮
Economic equilibrium problems in reflexive Banach spaces ⋮
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Positively homogeneous functions revisited ⋮
On duality for nonconvex minimization problems within the framework of abstract convexity ⋮
Separation, convexity and polarity in the space of normlinear functions ⋮
Generalized convex relations with applications to optimization and models of economic dynamics ⋮
Vector topical function, abstract convexity and image space analysis ⋮
Challenges of continuous global optimization in molecular structure prediction ⋮
On the variational behaviour of functions with positive steepest descent rate ⋮
Level sets relaxation, epigraphical relaxation and conditioning in optimization ⋮
Optimal allocations with α‐MaxMin utilities, Choquet expected utilities, and prospect theory ⋮
Dynamic programming with ordered structures: Theory, examples and applications ⋮
Sufficient global optimality conditions for weakly convex minimization problems ⋮
THE WEAK DROP PROPERTY AND THE DE LA VALL´EE POUSSIN THEOREM ⋮
Abstract convexity of radiant functions with applications ⋮
Duality for minimization of the difference of two \(\Phi_c\)-convex functions ⋮
Sufficient global optimality conditions for non-convex quadratic minimization problems with box constraints ⋮
Global sufficient optimality conditions for a special cubic minimization problem ⋮
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On economic equilibrium type problems with applications ⋮
Some criteria for maximal abstract monotonicity ⋮
Unnamed Item ⋮
On weak conjugacy, augmented Lagrangians and duality in nonconvex optimization ⋮
Generalized cutting plane method for solving nonlinear stochastic programming problems ⋮
Least squares splines with free knots: Global optimization approach. ⋮
\(P\)-functions, quasi-convex functions, and Hadamard-type inequalities ⋮
Topological convexities, selections and fixed points ⋮
Wasserstein barycenters in the manifold of all positive definite matrices ⋮
Duality for set-valued multiobjective optimization problems. I: Mathematical programming ⋮
An alogrithm for monotonic global optimization problems∗ ⋮
On ℋn+1-convex functions: asymptotic behaviour and subdifferentials ⋮
Generalized Gerstewitz's functions and vector variational principle for \(\epsilon\)-efficient solutions in the sense of Németh ⋮
Zero-convex functions, perturbation resilience, and subgradient projections for feasibility-seeking methods ⋮
Generalized Fenchel's conjugation formulas and duality for abstract convex functions ⋮
Minimax theorems for extended real-valued abstract convex-concave functions ⋮
Abstract convexity, global optimization and data classification. ⋮
Characterizing global maximizers of the difference of sub-topical functions ⋮
Sufficient conditions for global optimality of bivalent nonconvex quadratic programs with inequality constraints ⋮
Nash points, Ky Fan inequality and equilibria of abstract economies in Max-plus and \(\mathbb B\)-convexity ⋮
Nonsmooth Optimization ⋮
Infinitesimal calculus in metric spaces ⋮
A pre-order principle and set-valued Ekeland variational principle ⋮
Pareto optimality and Walrasian equilibria ⋮
Critical duality ⋮
Global optimality conditions for some classes of optimization problems ⋮
Differentiability of strongly paraconvex vector-valued functions ⋮
Pareto optimal allocations and dynamic programming ⋮
Penalty functions with a small penalty parameter ⋮
Maximal abstract monotonicity and generalized Fenchel's conjugation formulas ⋮
A geometric representation of the Morse fan ⋮
STABILITY OF SEMI-INFINITE INEQUALITY SYSTEMS INVOLVING MIN-TYPE FUNCTIONS ⋮
Non-convex quadratic minimization problems with quadratic constraints: global optimality conditions ⋮
On global optimality conditions via separation functions ⋮
A new approach to duality in vector optimization ⋮
Exact penalty functions and calmness for mathematical programming under nonlinear perturbations ⋮
Are dualities appropriate for duality theories in optimization? ⋮
Minimal convex majorants of functions and Demyanov–Rubinov exhaustive super(sub)differentials ⋮
The formulas for the representation of functions of two variables as a difference of sublinear functions ⋮
Lipschitz programming via increasing convex-along-rays functions* ⋮
Abstract convex approximations of nonsmooth functions ⋮
On Lagrange Duality for Several Classes of Nonconvex Optimization Problems ⋮
Strictly Increasing Positively Homogeneous Functions with Application to Exact Penalization ⋮
Increasing convex-along-rays functions with applications to global optimization ⋮
Cutting angle methods in global optimization ⋮
Characterization of solutions of strong-weak convex programming problems ⋮
Optimality conditions in global optimization and their applications ⋮
𝔹-Convex Sets and Functions ⋮
Conjugacies adapted to lower semicontinuous functions ⋮
Duality between multi-output production correspondences and cost functions ⋮
Monotonic analysis over ordered topological vector spaces. IV ⋮
On minimax theorems for lower semicontinuous functions in Hilbert spaces
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