Pub Date : 2022-02-16DOI: 10.1007/s11228-022-00629-0
Guillaume Olikier, P. Absil
{"title":"Correction to: On the Continuity of the Tangent Cone to the Determinantal Variety","authors":"Guillaume Olikier, P. Absil","doi":"10.1007/s11228-022-00629-0","DOIUrl":"https://doi.org/10.1007/s11228-022-00629-0","url":null,"abstract":"","PeriodicalId":49537,"journal":{"name":"Set-Valued and Variational Analysis","volume":"30 1","pages":"995 - 996"},"PeriodicalIF":1.6,"publicationDate":"2022-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45116065","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-31DOI: 10.1007/s11228-021-00619-8
R. Cibulka, T. Roubal
{"title":"On Ranges of Non-linear Operators","authors":"R. Cibulka, T. Roubal","doi":"10.1007/s11228-021-00619-8","DOIUrl":"https://doi.org/10.1007/s11228-021-00619-8","url":null,"abstract":"","PeriodicalId":49537,"journal":{"name":"Set-Valued and Variational Analysis","volume":"30 1","pages":"789 - 810"},"PeriodicalIF":1.6,"publicationDate":"2022-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41966191","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-01Epub Date: 2022-01-19DOI: 10.1007/s11228-022-00627-2
Anna Michalak, Marcin Studniarski
We present higher order necessary conditions for a model of welfare economics, where the preference mapping has a star-shape property. We assume that the preferences can be satiable and can be described by an arbitrary preference set, without the use of utility functions. These conditions are formulated in terms of higher-order directional derivatives of multivalued mappings, and the variable domination structure is not given by cones.
{"title":"Higher-Order Optimality Conditions in Set-Valued Optimization with Respect to General Preference Mappings.","authors":"Anna Michalak, Marcin Studniarski","doi":"10.1007/s11228-022-00627-2","DOIUrl":"10.1007/s11228-022-00627-2","url":null,"abstract":"<p><p>We present higher order necessary conditions for a model of welfare economics, where the preference mapping has a star-shape property. We assume that the preferences can be satiable and can be described by an arbitrary preference set, without the use of utility functions. These conditions are formulated in terms of higher-order directional derivatives of multivalued mappings, and the variable domination structure is not given by cones.</p>","PeriodicalId":49537,"journal":{"name":"Set-Valued and Variational Analysis","volume":"30 3","pages":"975-993"},"PeriodicalIF":1.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8768435/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39946144","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-12-15DOI: 10.1007/s11228-022-00651-2
H. Gfrerer, J. Outrata, J. Valdman
{"title":"On the Application of the SCD Semismooth* Newton Method to Variational Inequalities of the Second Kind","authors":"H. Gfrerer, J. Outrata, J. Valdman","doi":"10.1007/s11228-022-00651-2","DOIUrl":"https://doi.org/10.1007/s11228-022-00651-2","url":null,"abstract":"","PeriodicalId":49537,"journal":{"name":"Set-Valued and Variational Analysis","volume":"30 1","pages":"1453 - 1484"},"PeriodicalIF":1.6,"publicationDate":"2021-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43440361","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-12-10DOI: 10.1007/s11228-023-00660-9
B. Mordukhovich, Pedro P'erez-Aros
{"title":"Sensitivity Analysis of Stochastic Constraint and Variational Systems via Generalized Differentiation","authors":"B. Mordukhovich, Pedro P'erez-Aros","doi":"10.1007/s11228-023-00660-9","DOIUrl":"https://doi.org/10.1007/s11228-023-00660-9","url":null,"abstract":"","PeriodicalId":49537,"journal":{"name":"Set-Valued and Variational Analysis","volume":"31 1","pages":"1-29"},"PeriodicalIF":1.6,"publicationDate":"2021-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47445051","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-11-22DOI: 10.1007/s11228-021-00620-1
J. Ferrera, Javier Gómez Gil, J. Llorente
{"title":"Superdifferential Analysis of the Takagi-Van Der Waerden Functions","authors":"J. Ferrera, Javier Gómez Gil, J. Llorente","doi":"10.1007/s11228-021-00620-1","DOIUrl":"https://doi.org/10.1007/s11228-021-00620-1","url":null,"abstract":"","PeriodicalId":49537,"journal":{"name":"Set-Valued and Variational Analysis","volume":"30 1","pages":"811 - 826"},"PeriodicalIF":1.6,"publicationDate":"2021-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45709398","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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