{"title":"Reciprocal solution existence results for a class of vector variational control inequalities with application in physics","authors":"Savin Treanţă , Vinay Singh , Shashi Kant Mishra","doi":"10.1016/j.cam.2024.116461","DOIUrl":null,"url":null,"abstract":"<div><div>By considering differentiability and generalized convexity hypotheses for some functionals of multiple integral type, we propose some equivalences between the solution sets of some (weak) variational control inequalities of vector type, which depend by some uncertainty parameters, and the associated multiple objective variational control problems. Moreover, we propose the physical motivation of the problem under investigation by providing an application in the end of the paper.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"461 ","pages":"Article 116461"},"PeriodicalIF":2.1000,"publicationDate":"2024-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Computational and Applied Mathematics","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S037704272400709X","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
By considering differentiability and generalized convexity hypotheses for some functionals of multiple integral type, we propose some equivalences between the solution sets of some (weak) variational control inequalities of vector type, which depend by some uncertainty parameters, and the associated multiple objective variational control problems. Moreover, we propose the physical motivation of the problem under investigation by providing an application in the end of the paper.
期刊介绍：
The Journal of Computational and Applied Mathematics publishes original papers of high scientific value in all areas of computational and applied mathematics. The main interest of the Journal is in papers that describe and analyze new computational techniques for solving scientific or engineering problems. Also the improved analysis, including the effectiveness and applicability, of existing methods and algorithms is of importance. The computational efficiency (e.g. the convergence, stability, accuracy, ...) should be proved and illustrated by nontrivial numerical examples. Papers describing only variants of existing methods, without adding significant new computational properties are not of interest.
The audience consists of: applied mathematicians, numerical analysts, computational scientists and engineers.
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