Mokhtar HafayedSamira BoukafYan ShiShahlar MeherremBoukaf, SamiraHafayed, MokhtarShi, YanMeherrem, Shahlar2025-10-06201618728286, 092523120925-23121872-828610.1016/j.neucom.2015.11.0822-s2.0-84951044006https://www.scopus.com/inward/record.uri?eid=2-s2.0-84951044006&doi=10.1016%2Fj.neucom.2015.11.082&partnerID=40&md5=bf8ab3e86a99e3b289bbf217dab8cb1chttps://gcris.yasar.edu.tr/handle/123456789/9807https://doi.org/10.1016/j.neucom.2015.11.082In this paper we develop the necessary conditions of optimality for a new class of mixed regular-singular control problem for nonlinear forward-backward stochastic systems with Poisson jump processes of McKean-Vlasov type. The coefficients of the system and the performance functional depend not only on the state process but also its marginal law of the state process through its expected value. The control variable has two components the first being absolutely continuous and the second singular control. Our optimality conditions for these McKean-Vlasov[U+05F3]s systems are established by means of convex perturbation techniques for both continuous and singular parts. In our class of McKean-Vlasov control problem there are two types of jumps for the state processes the inaccessible ones which come from the Poisson martingale part and the predictable ones which come from the singular control part. © 2017 Elsevier B.V. All rights reserved.Englishinfo:eu-repo/semantics/closedAccessEmpirical Measures, Mckean-vlasov Systems, Mixed Regular-singular Control, Poisson Jump Processes, Probability Distribution, Markov Processes, Perturbation Techniques, Poisson Distribution, Probability Distributions, Stochastic Control Systems, Stochastic Systems, Control Problems, Control Variable, Empirical Measure, Necessary Conditions Of Optimality, Non-linear Stochastic Systems, Optimality Conditions, Poisson Jumps, Singular Control, Process Control, Article, Controlled Study, Filtration, Information Processing, Mathematical Analysis, Mathematical Computing, Mckean Vlasov System, Poisson Jump Processes, Prediction, Priority Journal, Probability, Statistical Parameters, Stochastic Model, TheoryMarkov processes, Perturbation techniques, Poisson distribution, Probability distributions, Stochastic control systems, Stochastic systems, Control problems, Control variable, Empirical measure, Necessary conditions of optimality, Non-linear stochastic systems, Optimality conditions, Poisson jumps, Singular control, Process control, Article, controlled study, filtration, information processing, mathematical analysis, mathematical computing, McKean Vlasov system, Poisson jump processes, prediction, priority journal, probability, statistical parameters, stochastic model, theoryProbability DistributionEmpirical MeasuresMixed Regular-Singular ControlMcKean-Vlasov SystemsPoisson Jump ProcessesMcKean-Viasov SystemsArticle