Dualities associated to binary operations on .
Duality and best constant for a Trudinger–Moser inequality involving probability measures
Duality and optimality conditions in abstract concave maximization
Duality based a posteriori error estimates for higher order variational inequalities with power growth functionals.
Duality for a fractional variational formulation using -approximated method
The present article explores the way -approximated method is applied to substantiate duality results for the fractional variational problems under invexity. -approximated dual pair is engineered and a careful study of the original dual pair has been done to establish the duality results for original problems. Moreover, an appropriate example is constructed based on which we can validate the established dual statements. The paper includes several recent results as special cases.
Duality for optimal control-approximation problems with gauges.
Duality for the level sum of quasiconvex functions and applications
Duality for the level sum of quasiconvex functions and applications
We study a quasiconvex conjugation that transforms the level sum of functions into the pointwise sum of their conjugates and derive new duality results for the minimization of the max of two quasiconvex functions. Following Barron and al., we show that the level sum provides quasiconvex viscosity solutions for Hamilton-Jacobi equations in which the initial condition is a general continuous quasiconvex function which is not necessarily Lipschitz or bounded.
Duality in Constrained DC-Optimization via Toland’s Duality Approach
2000 Mathematics Subject Classification: 90C48, 49N15, 90C25In this paper we reconsider a nonconvex duality theory established by B. Lemaire and M. Volle (see [4]), related to a primal problem of minimizing the difference of two convex functions subject to a DC-constraint. The purpose of this note is to present a new method based on Toland-Singer duality principle. Applications to the case when the constraints are vector-valued are provided.
Duality in the obstacle and unilateral problem for the biharmonic operator
The paper presents a problem of duality for the obstacle and unilateral biharmonic problem (the equilibrium of a thin plate with an obstacle inside the domain or on the boundary). The dual variational inequality is derived by introducing polar functions.
Duality in the optimal control for damped hyperbolic systems with positive control.
Duality in the optimal control of hyperbolic equations with positive controls.
Duality in vector optimization. I. Abstract duality scheme
Duality in vector optimization. II. Vector quasiconcave programming
Duality in vector optimization. III. Vector partially quasiconcave programming and vector fractional programming
Duality models for some nonclassical problems in the calculus of variations.
Duality results involving functions associated to nonempty subsets of locally convex spaces.
Duality theorem for fractional functional programming in complex space
Duality theorems for a class of non-linear programming problems.
Duality of linear programming is used to establish an important duality theorem for a class of non-linear programming problems. Primal problem has quasimonotonic objective function and a convex polyhedron as its constraint set.
Duality theory in mathematical programming and optimal control