Recent contributions to linear semi-infinite optimization
نویسندگان
چکیده
منابع مشابه
Composite semi - infinite optimization
Abstract: We consider a semi-infinite optimization problem in Banach spaces, where both the objective functional and the constraint operator are compositions of convex nonsmooth mappings and differentiable mappings. We derive necessary optimality conditions for these problems. Finally, we apply these results to nonconvex stochastic optimization problems with stochastic dominance constraints, ge...
متن کاملA Comprehensive Survey of Linear Semi-infinite Optimization Theory
1 Introduction 2 Existence theorems for the LSIS 3 Geometry of the feasible set 4 Optimality 5 Duality theorems and discretizatiön 6 Stability of the LSIS 7 Stability and well-posedness of the LSIP problem 8 Optimal Solution unicity REFERENCES 3 3 5 6 10 12 14 19 23 25
متن کاملOn stable uniqueness in linear semi-infinite optimization
This paper is intended to provide conditions for the stability of the strong uniqueness of the optimal solution of a given linear semi-in nite optimization (LSIO) problem, in the sense of the maintaining of the strong uniqueness property under su¢ ciently small perturbations of all the data. We consider LSIO problems such that the family of gradients of all the constraints is unbounded, extendi...
متن کاملSubsmooth semi-infinite and infinite optimization problems
We first consider subsmoothness for a function family and provide formulas of the subdifferential of the pointwsie supremum of a family of subsmooth functions. Next, we consider subsmooth infinite and semi-infinite optimization problems. In particular, we provide several dual and primal characterizations for a point to be a sharp minimum or a weak sharp minimum for such optimization problems.
متن کاملNon-Lipschitz Semi-Infinite Optimization Problems Involving Local Cone Approximation
In this paper we study the nonsmooth semi-infinite programming problem with inequality constraints. First, we consider the notions of local cone approximation $Lambda$ and $Lambda$-subdifferential. Then, we derive the Karush-Kuhn-Tucker optimality conditions under the Abadie and the Guignard constraint qualifications.
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ژورنال
عنوان ژورنال: 4OR
سال: 2017
ISSN: 1619-4500,1614-2411
DOI: 10.1007/s10288-017-0350-6