INTERVAL OPTIMIZATION PROBLEMS ON HADAM ARD MANIFOLDS

Le Tram Nguyen; Yu Lin Chang; Chu Chin Hu; Jein Shan Chen

INTERVAL OPTIMIZATION PROBLEMS ON HADAM ARD MANIFOLDS

Le Tram Nguyen, Yu Lin Chang, Chu Chin Hu, Jein Shan Chen^*

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

1 引文斯高帕斯（Scopus）

摘要

In this article, we introduce the interval optimization problems (lOPs) on Hadamard manifolds as well as study the relationship between them and the interval variational inequalities. To achieve the theoretical results, we build up some new concepts about gH-directional derivative and jff-Gateaux differentiability of interval valued functions and their properties on the Hadamard manifolds. The obtained results pave a way to further study on Riemannian interval optimization problems (RIOPs).

原文	英語
頁（從 - 到）	2489-2511
頁數	23
期刊	Journal of Nonlinear and Convex Analysis
卷	24
發行號	11
出版狀態	已發佈 - 2023

ASJC Scopus subject areas

分析
幾何和拓撲
控制和優化
應用數學

其它文件與鏈接

引用此

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title = "INTERVAL OPTIMIZATION PROBLEMS ON HADAM ARD MANIFOLDS",

abstract = "In this article, we introduce the interval optimization problems (lOPs) on Hadamard manifolds as well as study the relationship between them and the interval variational inequalities. To achieve the theoretical results, we build up some new concepts about gH-directional derivative and jff-Gateaux differentiability of interval valued functions and their properties on the Hadamard manifolds. The obtained results pave a way to further study on Riemannian interval optimization problems (RIOPs).",

keywords = "Hadamard manifolds, interval valued function, interval variational inequalities, set valued function on manifolds",

author = "Nguyen, {Le Tram} and Chang, {Yu Lin} and Hu, {Chu Chin} and Chen, {Jein Shan}",

year = "2023",

language = "English",

volume = "24",

pages = "2489--2511",

journal = "Journal of Nonlinear and Convex Analysis",

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TY - JOUR

T1 - INTERVAL OPTIMIZATION PROBLEMS ON HADAM ARD MANIFOLDS

AU - Nguyen, Le Tram

AU - Chang, Yu Lin

AU - Hu, Chu Chin

AU - Chen, Jein Shan

PY - 2023

Y1 - 2023

N2 - In this article, we introduce the interval optimization problems (lOPs) on Hadamard manifolds as well as study the relationship between them and the interval variational inequalities. To achieve the theoretical results, we build up some new concepts about gH-directional derivative and jff-Gateaux differentiability of interval valued functions and their properties on the Hadamard manifolds. The obtained results pave a way to further study on Riemannian interval optimization problems (RIOPs).

AB - In this article, we introduce the interval optimization problems (lOPs) on Hadamard manifolds as well as study the relationship between them and the interval variational inequalities. To achieve the theoretical results, we build up some new concepts about gH-directional derivative and jff-Gateaux differentiability of interval valued functions and their properties on the Hadamard manifolds. The obtained results pave a way to further study on Riemannian interval optimization problems (RIOPs).

KW - Hadamard manifolds

KW - interval valued function

KW - interval variational inequalities

KW - set valued function on manifolds

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UR - http://www.scopus.com/inward/citedby.url?scp=85188999340&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85188999340

SN - 1345-4773

VL - 24

SP - 2489

EP - 2511

JO - Journal of Nonlinear and Convex Analysis

JF - Journal of Nonlinear and Convex Analysis

IS - 11

ER -

INTERVAL OPTIMIZATION PROBLEMS ON HADAM ARD MANIFOLDS

摘要

ASJC Scopus subject areas

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