排序方式: 共有23条查询结果,搜索用时 31 毫秒
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E. J. Balder 《Journal of Optimization Theory and Applications》1989,61(2):203-219
We present a new, useful approximation scheme for the integrand of an integral functional, revolving around a generalized bipolarity result. This scheme leads immediately to lower semicontinuity and lower closure results for the integral functional, as well as to other, more general seminormality properties. 相似文献
3.
Le Anh Tuan Pham Huu Sach Nguyen Ba Minh 《Numerical Functional Analysis & Optimization》2013,34(4):430-450
In this article, we give sufficient conditions for the existence of solutions of a general model which includes as special cases many generalized vector quasi-equilibrium problems with set-valued maps. The obtained results generalize and improve several earlier results. 相似文献
4.
Julio Muoz 《Journal of Mathematical Analysis and Applications》2009,360(2):495-502
In this work we are going to prove the functional J defined by is weakly lower semicontinuous in W1,p(Ω) if and only if W is separately convex. We assume that Ω is an open set in and W is a real-valued continuous function fulfilling standard growth and coerciveness conditions. The key to state this equivalence is a variational result established in terms of Young measures. 相似文献
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Jean-Paul Penot 《Set-Valued Analysis》2008,16(4):429-442
We introduce a notion of continuity for multimaps (or set-valued maps) which is mild. It encompasses both lower semicontinuity
and upper semicontinuity. We give characterizations and we consider some permanence properties. This notion can be used for
various purposes. In particular, it is used for continuity properties of subdifferentials and of value functions in parametrized
optimization problems. We also prove an approximate selection theorem.
相似文献
7.
《Optimization》2012,61(3):577-595
We prove the Fritz John and Kuhn-Tucker necessary optimality conditions for vector optimization problems involving multifunctions and parameters under relaxed assumptions. 相似文献
8.
P. H. Sach 《Journal of Optimization Theory and Applications》2008,139(2):337-350
This paper considers the following generalized vector quasiequilibrium problem: find a point (z
0,x
0) of a set E×K such that x
0∈A(z
0,x
0) and
where α is a subset of 2
Y
×2
Y
, A:E×K→2
K
, B:E×K×K→2
E
, C:E×K×K→2
Y
, F:E×K×K→2
Y
are set-valued maps and Y is a topological vector space. Existence theorems are established under suitable assumptions, one of which is the requirement
of the openness of the lower sections of some set-valued maps which can be satisfied with maps B,C, F being discontinuous. It is shown that, in some special cases, this requirement can be verified easily by using the semicontinuity
property of these maps. Another assumption in the obtained existence theorems is assured by appropriate notions of diagonal
quasiconvexity.
The author thanks the referees for valuable comments. 相似文献
9.
Pham Huu Sach 《Nonlinear Analysis: Theory, Methods & Applications》2012,75(4):2281-2292
In this paper, new nonlinear scalarization functions, which are different from the Gerstewitz function, are introduced. Some properties of these functions are discussed, and are used to prove new results on the existence of solutions of generalized vector quasi-equilibrium problems with moving cones and the lower semicontinuity of solution mappings of parametric vector quasi-equilibrium problems. Detailed comparisons between our results and those obtained by using the Gerstewitz function (for existence theorems) and by other approaches (for the case of solution stability) are given. Illustrating examples are provided. 相似文献
10.
《Optimization》2012,61(2-3):161-178
We consider a linear semi-infinite programming problem where the index set of the constraints is compact and the constraint functions are continuous on it. The set of all continuous functions on this index set as right hand sides are the parameter set. We investigate how large various unicity sets are.We state a condition on the objective function vector and the “matrix” of the problem which characterizes when the set of a parameters with a non-unique optimal point is a set of the first Baire category in the solvability set. This is the case if and only if the unicity set is a dense subset of the solvability set. Under the same assumptions it is even true that the interior of the strong unicity set is I also dense. If the index set of the constraints contains a dense subset with the property that each point1 is a G 8-set, then the parameters of the strong unicity set, such that the optimal point satisfies the linear independence constraint qualification, are also dense. We apply our results to a characterization of a unique continuous selection for the optimal set I mapping and to a one-sided L 1-approximation problem 相似文献