云南高校图书馆联盟文献共享服务平台- SUBDIFFERENTIAL

SUBDIFFERENTIAL: 作品数：34被引量：48H指数：3; 导出分析报告; 相关领域：理学更多>>; 相关作者：赵磊更多>>; 相关机构：上海交通大学更多>>; 相关期刊：《Progress in Natural Science:Materials International》《Frontiers of Mathematics in China》《Applied Mathematics》《Acta Mathematica Sinica,English Series》更多>>; 相关基金：国家自然科学基金中国博士后科学基金河北省自然科学基金国家教育部博士点基金更多>>

VARIATIONAL ANALYSIS FOR THE MAXIMAL TIME FUNCTION IN NORMED SPACES: 《Acta Mathematica Scientia》2024年第5期1696-1706,共11页Ziyi ZHOU Yi JIANG; supported by the National Natural Science Foundation of China(11201324);the Fok Ying Tuny Education Foundation(141114);the Sichuan Technology Program(2022ZYD0011,2022NFSC1852).; For a general normed vector space,a special optimal value function called a maximal time function is considered.This covers the farthest distance function as a special case,and has a close relationship with the smalle...; 关键词：maximal time function SUBDIFFERENTIAL normal cone nonsmooth analysis

Capital allocation for cash-subadditive risk measures:From BSDEs toBSVIEs: 《Probability, Uncertainty and Quantitative Risk》2024年第3期339-370,共32页Emanuela Rosazza Gianin Marco Zullino; financial support of Gnampa Research Project 2024 (Grant No.PRR-20231026-073916-203);funded in part by an Ermenegildo Zegna Founder's Scholarship (Zullino)。; In the context of risk measures,the capital allocation problem is widely studied in the literature where different approaches have been developed,also in connection with cooperative game theory and systemic risk.Altho...; 关键词：Risk measures Capital allocation BSDE BSVIE Cash-subadditivity SUBDIFFERENTIAL

A Note on B-Subdifferential of Projection Operator on Polyhedral Set: 《Journal of the Operations Research Society of China》2024年第3期837-845,共9页Hao-Yang Liu Jia Wu Li-Wei Zhang; supported by the National Natural Science Foundation of China(Nos.12071055,11971089 and 11731013).; This note characterizes the set of Fréchet-differentiable points of the projection operator on a polyhedral set and the B-subdifferential of this projection operator at any point.; 关键词：Polyhedral set Projection operator B-subdifferential Strong regularity

Analysis of loss functions in support vector machines: 《Frontiers of Mathematics in China》2023年第6期381-414,共34页Huajun WANG Naihua XIU; Support vector machines(SVMs)are a kind of important machine learning methods generated by the cross interaction of statistical theory and optimization,and have been extensively applied into text categorization,diseas...; 关键词：Support vector machines loss function SUBDIFFERENTIAL proximal operator Fenchel conjugate

Sufficiency and Duality for Nonsmooth Interval-Valued Optimization Problems via Generalized Invex-Infine Functions: 《Journal of the Operations Research Society of China》2023年第3期505-527,共23页Izhar Ahmad Krishna Kummari S.Al-Homidan; In this paper,a new concept of generalized-affineness type of functions is introduced.This class of functions is more general than some of the corresponding ones discussed in Chuong(Nonlinear Anal Theory Methods Appl ...; 关键词：Mordukhovich subdifferential Locally Lipschitz functions Generalized invex-infine function Interval-valued programming LU-optimal Constraint qualifications DUALITY

A Relation between Resolvents of Subdifferentials and Metric Projections to Level Sets: 《Applied Mathematics》2023年第6期428-435,共8页Hiroko Okochi; An equation concerning with the subdifferential of convex functionals defined in real Banach spaces and the metric projections to level sets is shown. The equation is compared with the resolvents of general monotone o...; 关键词：SUBDIFFERENTIAL Convex Functional Monotone Operator RESOLVENT Lagrange Multiplier Banach Space Metric Projection

An Estimate on Linear Functionals’ Kernels in Banach Spaces, and Regularity of Convex Functionals: 《Applied Mathematics》2022年第9期753-759,共7页Hiroko Okochi; Motivated to obtain the second critical point of a nonlinear differential equation, which is expressed by derivatives of convex functional defined on a Banach space, an estimate with is given to see the relation betwe...; 关键词：Banach Space Convex Functional SUBDIFFERENTIAL Frèchet Derivative Gâteaux Derivative Deformation Lemma Mountain Pass Theorem

Generalized Lagrangian Duality in Set-valued Vector Optimization via Abstract Subdifferential: 《Acta Mathematicae Applicatae Sinica》2022年第2期337-351,共15页Yan-fei CHAI San-yang LIU Si-qi WANG; supported by National Science Foundation of China(No.11401487);the Education Department of Shaanxi Province(No.17JK0330);the Fundamental Research Funds for the Central Universities(No.300102341101);State Key Laboratory of Rail Transit Engineering Informatization(No.211934210083)。; In this paper,we investigate dual problems for nonconvex set-valued vector optimization via abstract subdifferential.We first introduce a generalized augmented Lagrangian function induced by a coupling vector-valued f...; 关键词：Nonconvex set-valued vector optimization abstract subdifferential generalized augmented Lagrangian duality exact penalization sub-optimal path

EXISTENCE AND CONVERGENCE RESULTS FOR AN ELASTIC FRICTIONAL CONTACT PROBLEM WITH NONMONOTONE SUBDIFFERENTIAL BOUNDARY CONDITIONS: 《Acta Mathematica Scientia》2021年第4期1151-1168,共18页Yongjian LIU Stanisiaw MIGÓRSKI Van Thien NGUYEN Shengda ZHENG; The project supported by the NNSF of China Grants Nos.12001478,12026255,12026256 and 11961074,H2020-MSCA-RISE-2018 Research;Innovation Staff Exchange Scheme Fellowship within the Project No.823731 CONMECH;National Science Center of Poland under Preludium Project No.2017/25/N/ST1/00611;It is also supported by the Startup Project of Doctor Scientific Research of Yulin Normal University No.G2020ZK07;Natural Science Foundation of Guangxi Province Grants Nos.2018GXNSFDA281028 and 2020GXNSFBA297137;the High Level Innovation Team Program from Guangxi Higher Education Institutions of China(Document no.[2018]35).; The goal of this paper is to study a mathematical model of a nonlinear static frictional contact problem in elasticity with the mixed boundary conditions described by a combination of the Signorini unilateral friction...; 关键词：Mixed variational-hemi variational inequality H-convergence HOMOGENIZATION Clarke subgradient Lagrange multiplier elasticity operator

Minimal periodic solutions of first-order convex Hamiltonian systems with anisotropic growth被引量：6: 《Frontiers of Mathematics in China》2018年第5期1063-1073,共11页Chungen LIU Li ZUO Xiaofei ZHANG; Based on the work of Clarke and Ekeland and using duality variational principle, we confirm the existence of minimal periodic solutions of some convex Hamiltonian systems with anisotropic growth.; 关键词：Hamiltonian system minimal period Fenchel＇s transform SUBDIFFERENTIAL

SUBDIFFERENTIAL