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Optimality Conditions for Constrained Convex Parabolic Control Problems via Duality
Optimality Conditions Constrained Convex Parabolic Control via Duality
2009/1/13
The optimality system is given for a phase-constrained control problem governed by a linear parabolic equation. The control may act on the boundary and the cost function may depend on the boundary val...
Epi-differentiability and Optimality Conditions for an Extremal Problem Under Inclusion Constraints
Optimality Conditions Epi-convergence Epi-differentiability Support function
2008/7/1
Epi-differentiability and Optimality Conditions for an Extremal Problem Under Inclusion Constraints.
On Generalized Monotone Multifunctions with Applications to Optimality Conditions in Generalized Convex Programming
Generalized monotone multifunction Generalized convex function Quasiconvex Pseudoconvex Generalized subdifferentials Normal cone Level set Local minimum Global minimum Variational inequalities
2008/6/27
Characterization of quasiconvexity and pseudoconvexity of lower semicontinuous functions on Banach spaces are presented in terms of abstract subdifferentials relying on a Mean Value Theorem. We give s...
OPTIMALITY CONDITIONS AND DUALITY THEOREMS IN NONCONICAL MULTIOBJECTIVE PROGRAMMING
Multiobjective programming nonconical o
2007/12/17
摘要 This paper is concerned with the nonconical multiobjective programming proly fern. By virtue of the derivate of a binary relation, the sufficient and necessary optimality conditions are presented, ...
We develop first order optimality conditions for constrained vector optimization. The partial orders for the objective and the constraints are induced by closed and convex cones with nonempty interior...
In this paper, we derive an exact penalty function for nonconvex bilevel programming problem based on its KS form. Based on this exact penalty function a sufficient condition for KS to be partially c...
NONCONICAL N0NSMOOTH MULTIOBJECTIVE PROGRAMMING-OPTIMALITY CONDITIONS AND DUALITY THEOREMS
Binary relation generalized directional
2007/8/7
This paper deals with Nonconical Nonsmooth Multiobjective Programming Problem. The generalized directional derivate of a mapping w.r.t a binary relation and the derivate of a binary relation are intro...
OPTIMALITY CONDITIONS IN NONSMOOTH MULTIOBJECTIVE PROGRAMMING
multiobjective programming generalized
2007/8/7
In this paper, a separation theorem is established firstly. Applying this theorem the relationships between the solutions of a series of inequality systems are discussed. Then a necessary optimality c...
THE OPTIMALITY CONDITIONS OF D-PSEUDOCONVEX PROGRAMMING WITH OPERATOR CONSTRAINTS
D-pseudoconvex programming operator cons
2007/8/7
The problem of D-pseudoconvex programming with operator constraints is discussed in this paper. Some new optimality conditions are presented and an error made by V. Barbu in [4] is pointed out.
In this paper we discuss necessary conditions in multiobjective differentiable programming. We first give a counterexample to [1,Theorem 2.1] and then present its correct form with which we can easily...