{"title":"Characterizations and Classification of Paraconvex Multimaps","authors":"Hocine Mokhtar-Kharroubi","doi":"10.2478/candc-2022-0019","DOIUrl":null,"url":null,"abstract":"Abstract Paraconvex multimaps are revisited in normed vector space setting. A parallel is provided with the studies conducted for real valued paraconvex functions on generalized convexities and monotonicities. Several characterizations are then obtained. The links with some generalized convexities for multimaps are examined and a first classification is achieved. In addition, two representation results for 2-paraconvex multimaps are given.","PeriodicalId":55209,"journal":{"name":"Control and Cybernetics","volume":"51 1","pages":"303 - 325"},"PeriodicalIF":0.0000,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Control and Cybernetics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/candc-2022-0019","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0
Abstract
Abstract Paraconvex multimaps are revisited in normed vector space setting. A parallel is provided with the studies conducted for real valued paraconvex functions on generalized convexities and monotonicities. Several characterizations are then obtained. The links with some generalized convexities for multimaps are examined and a first classification is achieved. In addition, two representation results for 2-paraconvex multimaps are given.
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The field of interest covers general concepts, theories, methods and techniques associated with analysis, modelling, control and management in various systems (e.g. technological, economic, ecological, social). The journal is particularly interested in results in the following areas of research:
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general systems theory,
optimal cotrol,
optimization theory,
data analysis, learning, artificial intelligence,
modelling & identification,
game theory, multicriteria optimisation, decision and negotiation methods,
soft approaches: stochastic and fuzzy methods,
computer science,
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