MONOTONE

作品数：263被引量：229H指数：7
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Convergence of a New Bregman Projection Method with a Self-adaptive Stepsize for Solving Monotone Inclusion Problems and Variational Inequality Problems in Reflexive Banach Spaces
《数学进展》2025年第1期141-163,共23页CHEN Lulu CAI Gang 
Supported by NSFC(No.12171062);the Natural Science Foundation of Chongqing(No.CSTB2022NSCQ-JQX0004);the Chongqing Talent Support Program(No.cstc2024ycjh-bgzxm0121);Science and Technology Project of Chongqing Education Committee(No.KJZD-M202300503)。
The purpose of this article is to introduce a new method with a self-adaptive stepsize for approximating a common solution of monotone inclusion problems and variational inequality problems in reflexive Banach spaces....
关键词：Bregman distance variational inequality monotone inclusion maximal operator reflexive Banach space 
Expected Residual Minimization Method for Stochastic Tensor Variational Inequalities
《Journal of the Operations Research Society of China》2024年第4期1048-1071,共24页Tong-Tong Shang Guo-Ji Tang 
supported by the National Natural Science Foundation of China(No.11961006);Guangxi Natural Science Foundation(No.2020GXNSFAA159100).
The goal of this paper is to introduce and investigate a model called the stochastic tensor variational inequality(denoted by STVI),which is a natural extension of the stochastic linear complementarity problem and the...
关键词：Stochastic tensor variational inequality Strongly monotone tensor Level set Convergence 
Startup drift compensation of RLG based on monotone constrained RBF neural network
《Chinese Journal of Aeronautics》2024年第11期355-365,共11页Songlai HAN Mingcun ZHAO Xuesong LIU Xuecong LIU 
supported in part by the National Natural Science Foundation of China(No.61203199)。
Serious startup drift of the Ring Laser Gyroscope(RLG)is observed during cold startup process,which will dramatically degrade the performances of the corresponding Inertial Navigation System(INS).In this paper,correla...
关键词：RLG Thermal effects Startup drift RBF Temperature compensation 
Maximizing the Differences Between a Monotone DR-Submodular Function and a Linear Function on the Integer Lattice
《Journal of the Operations Research Society of China》2024年第3期795-807,共13页Zhen-Ning Zhang Dong-Lei Du Ran Ma Dan Wu 
supported by the National Natural Science Foundation of China(Nos.12001025 and 12131003);The second author is supported by the Natural Sciences and Engineering Research Council(No.06446),and the National Natural Science Foundation of China(Nos.11771386 and 11728104);The third author is supported by the National Natural Science Foundation of China(Nos.11501171 and 11771251);the Province Natural Science Foundation of Shandong(No.ZR2020MA028);The fourth author is supported by the National Natural Science Foundation of China(No.11701150)。
In this paper,we investigate the maximization of the differences between a nonnegative monotone diminishing return submodular(DR-submodular)function and a nonnegative linear function on the integer lattice.As it is al...
关键词：Submodular maximization DR-submodular Integer lattice Single-threshold greedy algorithm Streaming algorithm 
ON MONOTONE TRAVELING WAVES FOR NICHOLSON'S BLOWFLIES EQUATION WITH DEGENERATE p-LAPLACIAN DIFFUSION
《Acta Mathematica Scientia》2024年第4期1550-1571,共22页Rui HUANG Yong WANG Zhuo YIN 
partially supported by the NSFC(11971179,12371205);partially supported by the National Key R&D Program of China(2021YFA1002900);the Guangdong Province Basic and Applied Basic Research Fund(2021A1515010235);the Guangzhou City Basic and Applied Basic Research Fund(2024A04J6336)。
We study the existence and stability of monotone traveling wave solutions of Nicholson's blowflies equation with degenerate p-Laplacian diffusion.We prove the existence and nonexistence of non-decreasing smooth travel...
关键词：degenerate diffusion P-LAPLACIAN traveling waves stability 
Distributed Optimal Variational GNE Seeking in Merely Monotone Games
《IEEE/CAA Journal of Automatica Sinica》2024年第7期1621-1630,共10页Wangli He Yanzhen Wang 
supported by the National Natural Science Foundation of China(Basic Science Center Program)(61988101);the Joint Fund of Ministry of Education for Equipment Pre-research (8091B022234);Shanghai International Science and Technology Cooperation Program (21550712400);Shanghai Pilot Program for Basic Research (22TQ1400100-3);the Fundamental Research Funds for the Central Universities;Shanghai Artifcial Intelligence Laboratory。
In this paper, the optimal variational generalized Nash equilibrium(v-GNE) seeking problem in merely monotone games with linearly coupled cost functions is investigated, in which the feasible strategy domain of each a...
关键词：Distributed algorithms equilibria selection generalized Nash equilibrium(GNE) merely monotone games 
Relaxed Inertial Method for Solving Split Monotone Variational Inclusion Problem with Multiple Output Sets Without Co-coerciveness and Lipschitz Continuity
《Acta Mathematica Sinica,English Series》2024年第7期1697-1726,共30页Timilehin Opeyemi Alakoya Oluwatosin Temitope Mewomo 
Supported by National Research Foundation(NRF)of South Africa Incentive Funding for Rated Researchers(Grant No.119903)。
In this paper,we study the concept of split monotone variational inclusion problem with multiple output sets.We propose a new relaxed inertial iterative method with self-adaptive step sizes for approximating the solut...
关键词：Split inverse problems non-Lipschitz operators inertial technique self-adaptive step sizes 
Adaptive Algorithms on Maximizing Monotone Nonsubmodular Functions
《Journal of the Operations Research Society of China》2024年第2期428-445,共18页Bin Liu Hui Su Shu-Fang Gong Qi-Zhi Fang 
the National Natural Science Foundation of China(Nos.11971447 and 11871442);the Fundamental Research Funds for the Central Universities.
Submodular optimization is widely used in large datasets.In order to speed up the problems solving,it is essential to design low-adaptive algorithms to achieve acceleration in parallel.In general,the function values a...
关键词：Approximation algorithm Adaptivity Nonsubmodular maximization Cardinality constraint 
Optimal Insurance with Background Risk under the Ambiguity and Belief Heterogeneity Structure
《Journal of Applied Mathematics and Physics》2024年第6期2160-2171,共12页Xiaohan Wang 
In this paper, we discuss the optimal insurance in the presence of background risk while the insured is ambiguity averse and there exists belief heterogeneity between the insured and the insurer. We give the optimal i...
关键词：Optimal Insurance Monotone Hazard Ratio Order Smooth Ambiguity Model Background Risk Belief Heterogeneity Structure 
Bifurcation analysis of an SIS epidemic model with a generalized non-monotonic and saturated incidence rate
《International Journal of Biomathematics》2024年第4期39-73,共35页Chunxian Huang Zhenkun Jiang Xiaojun Huang Xiaoliang Zhou 
supported by the NSF of China[Grant No.11961021];the NSF of Guangdong province[Grant Nos.2022A1515010964 and 2022A1515010193];the Innovation and Developing School Project of Guangdong Province[Grant No.2019KzDXM032];the Special Fund of Science and Technology Innovation Strategy of Guangdong Province[Grant Nos.pdjh2022b0320 and pdjh2023b0325].
In this paper,a new generalized non-monotonic and saturated incidence rate was introduced into a susceptible-infected-susceptible(SIS)epidemic model to account for inhibitory effect and crowding effect.The dynamic pro...
关键词：SIS epidemic model generalized non-monotone and saturated incidence rate saddle-node bifurcation Hopf bifurcation Bogdanov-Takens bifurcation 
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