Painlevé-Kuratowski convergence for set optimization solutions using improvement sets
Applied Mathematics in Science and EngineeringThis paper investigates the Painlevé-Kuratowski convergence of solution sets in set optimization problems under perturbations. By introducing the notion of [Formula: see text]-[Formula: see text]-Strictly quasiconvexity for set-valued mappings, we ...
Taiyong Li, Manli Yang
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Set optimization using improvement sets [PDF]
Yugoslav Journal of Operations Research, 2017 In this paper we introduce a notion of minimal solutions for set-valued optimization problem in terms of improvement sets, by unifying a solution notion, introduced by Kuroiwa [15] for set-valued problems, and a notion of optimal solutions in ...
Dhingra M., Lalitha C.S.
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Fell type topologies of quasi-pseudo-metric spaces and the Kuratowski-Painlevé convergence
Applied General Topology, 2001 We study the double Fell topology when this hypertopology is constructed over a quasi-pseudo-metric space. In particular, its relationship with the Wijsman hypertopology is studied.
Jesús Rodríguez-López
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Journal of Inequalities and Applications, 2009 Painleve-Kuratowski convergence of the solution sets is investigated for the perturbed set-valued weak vector variational inequalities with a sequence of mappings converging continuously.
Z. M. Fang, S. J. Li, K. L. Teo
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Journal of Inequalities and Applications, 2008 Painleve-Kuratowski convergence of the solution sets is investigated for the perturbed set-valued weak vector variational inequalities with a sequence of mappings converging continuously.
Teo KL, Fang ZM, Li SJ
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Level sets of depth measures in abstract spaces. [PDF]
Test (Madr), 2023 Cholaquidis A, Fraiman R, Moreno L.
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A sufficient condition for metric subregularity of set-valued mappings between Asplund spaces based on an outer-coderivative-like variational tool. [PDF]
Heliyon, 2023 Maréchal M.
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On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction. [PDF]
Comput Optim Appl, 2023 Gfrerer H +3 more
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Unified Robust Necessary Optimality Conditions for Nonconvex Nonsmooth Uncertain Multiobjective Optimization. [PDF]
J Optim Theory Appl, 2022 Wang J, Li S, Feng M.
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Control in Probability for SDE Models of Growth Population. [PDF]
Appl Math Optim, 2022 Pérez-Aros P, Quiñinao C, Tejo M.
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