Characterization of solution sets of convex optimization problems in Riemannian manifolds
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DOI: 10.1007/s00013-019-01382-x
Abstract: In this paper, a characterization of the solution sets of convex smooth optimization programmings on Riemannian manifolds, in terms of the Riemannian gradients of the cost functions, is obtained. read more here.
Keywords: characterization solution; riemannian manifolds; sets convex; solution sets ... See more keywords
Dual Approaches to Characterize Robust Optimal Solution Sets for a Class of Uncertain Optimization Problems
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DOI: 10.1007/s10957-019-01496-w
Abstract: In this paper, we deal with robust optimal solution sets for a class of optimization problems with data uncertainty in both the objective and constraints. We first introduce a mixed-type robust dual problem of this… read more here.
Keywords: optimization; robust optimal; optimal solution; uncertain optimization ... See more keywords
Connectedness of Solution Sets for Weak Generalized Symmetric Ky Fan Inequality Problems via Addition-Invariant Sets
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DOI: 10.1007/s10957-020-01633-w
Abstract: In this paper, the connectedness and path-connectedness of solution sets for weak generalized symmetric Ky Fan inequality problems with respect to addition-invariant set are studied. A class of weak generalized symmetric Ky Fan inequality problems… read more here.
Keywords: symmetric fan; fan inequality; solution sets;
An approach to characterizing $$\epsilon $$-solution sets of convex programs
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DOI: 10.1007/s11750-021-00616-y
Abstract: In this paper, we propose an approach to characterizing $${\epsilon} $$ -solution sets of convex programs with a given $${\epsilon} >0$$ . The results are divided into two parts. The first one is devoted to… read more here.
Keywords: convex programs; solution; epsilon solution; sets convex ... See more keywords
Differential inclusions with state-dependent impulses on the half-line: New Fréchet space of functions and structure of solution sets
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DOI: 10.1016/j.jmaa.2016.09.046
Abstract: Abstract An R δ -structure of solution sets to some classes of impulsive differential inclusions with variable impulse times on the half-line is shown. Sufficient conditions on barriers are discussed in detail. They imply two… read more here.
Keywords: half line; differential inclusions; structure solution; solution sets ... See more keywords
Characterization of AE solution sets of parametric linear systems based on the techniques of convex sets
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DOI: 10.1016/j.laa.2017.07.035
Abstract: Abstract New approach to linear systems with uncertain parameters is proposed. The notion of AE solution sets is extended to the case when the domain of parameters need not be an interval vector. The tools… read more here.
Keywords: sets parametric; characterization solution; solution; convex sets ... See more keywords
Some characterizations of robust solution sets for uncertain convex optimization problems with locally Lipschitz inequality constraints
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DOI: 10.3934/jimo.2018163
Abstract: In this paper, we consider an uncertain convex optimization problem with a robust convex feasible set described by locally Lipschitz constraints. Using robust optimization approach, we give some new characterizations of robust solution sets of… read more here.
Keywords: characterizations robust; uncertain convex; optimization; solution ... See more keywords