PSEUDOMONOTONE

作品数:6被引量:6H指数:1
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相关领域:理学更多>>
相关期刊:《Acta Mathematica Sinica,English Series》《Science China Mathematics》《Acta Mathematicae Applicatae Sinica》《Acta Mathematica Scientia》更多>>
相关基金:国家自然科学基金更多>>
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Pseudomonotonicity of Nonlinear Transformations on Euclidean Jordan Algebras
《Acta Mathematicae Applicatae Sinica》2024年第1期192-204,共13页Yuan-Min Li 
supported by the Natural Science Basic Research Program of Shaanxi (Program No. 2023-JCYB-048);the National Natural Science Foundation of China (Program No. 11601406)。
In this paper, we have introduced the concepts of pseudomonotonicity properties for nonlinear transformations defined on Euclidean Jordan algebras. The implications between this property and other P-properties have be...
关键词:Euclidean Jordan algebra nonlinear transformation complementarity problem PSEUDOMONOTONE 
Stability analysis for evolutionary variational-hemivariational inequalities with constraint sets
《Science China Mathematics》2022年第7期1469-1484,共16页Yi-bin Xiao Mou-tao Liu Tao Chen Nan-jing Huang 
supported by National Natural Science Foundation of China(Grant Nos.11771067 and 11671282);the Applied Basic Project of Sichuan Province(Grant No.2019YJ0204);the Fundamental Research Funds for the Central Universities(Grant No.ZYGX2019J095)。
In this paper,we provide the stability analysis for an evolutionary variational-hemivariational inequality in the reflexive Banach space,whose data including the constraint set are perturbed.First,by using its perturb...
关键词:evolutionary variational-hemivariational inequality L-pseudomonotone duality mapping Mosco convergence smallness condition 
Subgradient Extragradient Methods for Equilibrium Problems and Fixed Point Problems in Hilbert Space
《Journal of Harbin Institute of Technology(New Series)》2022年第1期15-23,共9页Lulu Yin Hongwei Liu 
Inspired by inertial methods and extragradient algorithms,two algorithms were proposed to investigate fixed point problem of quasinonexpansive mapping and pseudomonotone equilibrium problem in this study.In order to e...
关键词:subgradient extragradient methods inertial methods pseudomonotone equilibrium problems fixed point problems Lipschitz⁃type condition 
A Cutting Hyperplane Projection Method for Solving Generalized Quasi-Variational Inequalities
《Journal of the Operations Research Society of China》2016年第4期483-501,共19页Ming-Lu Ye 
the Scientific Research Foundation of Education Department of Sichuan Province(No.15ZA0154);Scientific Research Foundation of China West Normal University(No.14E014);University Innovation Team Foundation of China West Normal University(No.CXTD2014-4);the National Natural Science Foundation of China(No.11371015).
The generalized quasi-variational inequality is a generalization of the generalized variational inequality and the quasi-variational inequality.The study for the generalized quasi-variational inequality is mainly conc...
关键词:Generalized quasi-variational inequality Cutting hyperplane projection method Point-to-set mapping PSEUDOMONOTONE 
EXISTENCE RESULTS FOR A CLASS OF PSEUDOMONOTONE ELLIPTIC-PARABOLIC INCLUSIONS被引量:1
《Acta Mathematica Scientia》2011年第5期1709-1718,共10页彭自嘉 刘益良 
supported by NSFC (10971019);Scientific Research Fund of Guangxi Education Department (201012MS067);Hunan Provincial Innovation Foundation For Postgraduate (CX2010B117)
This paper deals with the initial-value problem of nonlinear evolution inclusions of the form dB(u)/dt + A(u) f, v0 ∈ B(u)(0), where the operator B is induced by a subgradient and A is pseudomonotone. Existe...
关键词:time-discretization pseudomonotone operator REGULARIZATION 
Second Order Nonlinear Evolution Inclusions Existence and Relaxation Results被引量:5
《Acta Mathematica Sinica,English Series》2005年第5期977-996,共20页NikolaosS.PAPAGEORGIOU NikolaosYANNAKAKIS 
This is the first part of a work on second order nonlinear, nonmonotone evolution inclusions defined in the framework of an evolution triple of spaces and with a multivalued nonlinearity depending on both x(t) and x...
关键词:Evolution triple Pseudomonotone and demicontinuous operator Coercive operator L-pseudomonotonicity Upper semicontinuous and lower semicontinuous multifunction Solution set Integration by parts formula Compact embedding Extremal solutions Strong relaxation Hyperbolic control system Surjective operator 
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