{"title":"On Second-Order Semi-Differentiability of Index γ of Perturbation Maps in Parametric Vector Optimization Problems","authors":"T. Pham","doi":"10.1142/s0217595922500415","DOIUrl":null,"url":null,"abstract":"In this paper, we prove that the Henig global proper efficient solution map and the Henig global proper efficient perturbation map of a parametric vector optimization problem are second-order semi-differentiable with index [Formula: see text] under some suitable qualification conditions. Several examples are given to illustrate the obtained results.","PeriodicalId":55455,"journal":{"name":"Asia-Pacific Journal of Operational Research","volume":" ","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2023-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asia-Pacific Journal of Operational Research","FirstCategoryId":"91","ListUrlMain":"https://doi.org/10.1142/s0217595922500415","RegionNum":4,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"OPERATIONS RESEARCH & MANAGEMENT SCIENCE","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we prove that the Henig global proper efficient solution map and the Henig global proper efficient perturbation map of a parametric vector optimization problem are second-order semi-differentiable with index [Formula: see text] under some suitable qualification conditions. Several examples are given to illustrate the obtained results.
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The Asia-Pacific Journal of Operational Research (APJOR) provides a forum for practitioners, academics and researchers in Operational Research and related fields, within and beyond the Asia-Pacific region.
APJOR will place submissions in one of the following categories: General, Theoretical, OR Practice, Reviewer Survey, OR Education, and Communications (including short articles and letters). Theoretical papers should carry significant methodological developments. Emphasis is on originality, quality and importance, with particular emphasis given to the practical significance of the results. Practical papers, illustrating the application of Operation Research, are of special interest.
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