Pub Date : 2021-07-19DOI: 10.1007/s11228-021-00596-y
D. Luc, M. Volle
{"title":"Algebraic Approach to Duality in Optimization and Applications","authors":"D. Luc, M. Volle","doi":"10.1007/s11228-021-00596-y","DOIUrl":"https://doi.org/10.1007/s11228-021-00596-y","url":null,"abstract":"","PeriodicalId":49537,"journal":{"name":"Set-Valued and Variational Analysis","volume":"29 1","pages":"661 - 681"},"PeriodicalIF":1.6,"publicationDate":"2021-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s11228-021-00596-y","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45945803","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 : 2021-07-17DOI: 10.1007/s11228-021-00598-w
W. van Ackooij, Paul Javal, P. Pérez-Aros
{"title":"Derivatives of Probability Functions: Unions of Polyhedra and Elliptical Distributions","authors":"W. van Ackooij, Paul Javal, P. Pérez-Aros","doi":"10.1007/s11228-021-00598-w","DOIUrl":"https://doi.org/10.1007/s11228-021-00598-w","url":null,"abstract":"","PeriodicalId":49537,"journal":{"name":"Set-Valued and Variational Analysis","volume":"30 1","pages":"487 - 519"},"PeriodicalIF":1.6,"publicationDate":"2021-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s11228-021-00598-w","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43159694","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 : 2021-07-16DOI: 10.1007/s11228-023-00671-6
R. D. Mill'an, V. Roshchina
{"title":"The Intrinsic Core and Minimal Faces of Convex Sets in General Vector Spaces","authors":"R. D. Mill'an, V. Roshchina","doi":"10.1007/s11228-023-00671-6","DOIUrl":"https://doi.org/10.1007/s11228-023-00671-6","url":null,"abstract":"","PeriodicalId":49537,"journal":{"name":"Set-Valued and Variational Analysis","volume":"31 1","pages":"1-27"},"PeriodicalIF":1.6,"publicationDate":"2021-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49348013","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 : 2021-07-14DOI: 10.1007/s11228-021-00597-x
C. Argáez, Manuel Cánovas, J. Parra
{"title":"Calmness of Linear Constraint Systems under Structured Perturbations with an Application to the Path-Following Scheme","authors":"C. Argáez, Manuel Cánovas, J. Parra","doi":"10.1007/s11228-021-00597-x","DOIUrl":"https://doi.org/10.1007/s11228-021-00597-x","url":null,"abstract":"","PeriodicalId":49537,"journal":{"name":"Set-Valued and Variational Analysis","volume":"29 1","pages":"839 - 860"},"PeriodicalIF":1.6,"publicationDate":"2021-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46425612","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 : 2021-07-10DOI: 10.1007/s11228-021-00610-3
J. Burke, Q. Lin
{"title":"Convergence of the Gradient Sampling Algorithm on Directionally Lipschitz Functions","authors":"J. Burke, Q. Lin","doi":"10.1007/s11228-021-00610-3","DOIUrl":"https://doi.org/10.1007/s11228-021-00610-3","url":null,"abstract":"","PeriodicalId":49537,"journal":{"name":"Set-Valued and Variational Analysis","volume":"29 1","pages":"949 - 966"},"PeriodicalIF":1.6,"publicationDate":"2021-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44038343","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 : 2021-06-30DOI: 10.1007/s11228-022-00647-y
D. Cuong, B. Mordukhovich, N. M. Nam, Sandine Gary
{"title":"Generalized Differentiation and Duality in Infinite Dimensions under Polyhedral Convexity","authors":"D. Cuong, B. Mordukhovich, N. M. Nam, Sandine Gary","doi":"10.1007/s11228-022-00647-y","DOIUrl":"https://doi.org/10.1007/s11228-022-00647-y","url":null,"abstract":"","PeriodicalId":49537,"journal":{"name":"Set-Valued and Variational Analysis","volume":"30 1","pages":"1503 - 1526"},"PeriodicalIF":1.6,"publicationDate":"2021-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45002197","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 : 2021-06-29DOI: 10.1007/s11228-021-00591-3
J. Ye, Xiaoming Yuan, Shangzhi Zeng, Jin Zhang
{"title":"Variational Analysis Perspective on Linear Convergence of Some First Order Methods for Nonsmooth Convex Optimization Problems","authors":"J. Ye, Xiaoming Yuan, Shangzhi Zeng, Jin Zhang","doi":"10.1007/s11228-021-00591-3","DOIUrl":"https://doi.org/10.1007/s11228-021-00591-3","url":null,"abstract":"","PeriodicalId":49537,"journal":{"name":"Set-Valued and Variational Analysis","volume":"29 1","pages":"803 - 837"},"PeriodicalIF":1.6,"publicationDate":"2021-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s11228-021-00591-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42102392","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 : 2021-06-16DOI: 10.1007/s11228-021-00587-z
Yulan Liu, S. Pan
{"title":"Second-order Optimality Conditions for Mathematical Program with Semidefinite Cone Complementarity Constraints and Applications","authors":"Yulan Liu, S. Pan","doi":"10.1007/s11228-021-00587-z","DOIUrl":"https://doi.org/10.1007/s11228-021-00587-z","url":null,"abstract":"","PeriodicalId":49537,"journal":{"name":"Set-Valued and Variational Analysis","volume":"30 1","pages":"373 - 395"},"PeriodicalIF":1.6,"publicationDate":"2021-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s11228-021-00587-z","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49166250","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 : 2021-06-16DOI: 10.1007/s11228-021-00588-y
A. Arutyunov, E. Zhukovskiy, S. Zhukovskiy, Z. Zhukovskaya
{"title":"Kantorovich’s Fixed Point Theorem and Coincidence Point Theorems for Mappings in Vector Metric Spaces","authors":"A. Arutyunov, E. Zhukovskiy, S. Zhukovskiy, Z. Zhukovskaya","doi":"10.1007/s11228-021-00588-y","DOIUrl":"https://doi.org/10.1007/s11228-021-00588-y","url":null,"abstract":"","PeriodicalId":49537,"journal":{"name":"Set-Valued and Variational Analysis","volume":"30 1","pages":"397 - 423"},"PeriodicalIF":1.6,"publicationDate":"2021-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s11228-021-00588-y","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42837678","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}