PSEUDOMONOTONICITY

作品数：6被引量：6H指数：1
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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 
Inertial Subgradient Extragradient Algorithm for Solving Variational Inequality Problems with Pseudomonotonicity
《Journal of Harbin Institute of Technology(New Series)》2023年第5期65-75,共11页Yuwan Ding Hongwei Liu Xiaojun Ma 
In order to solve variational inequality problems of pseudomonotonicity and Lipschitz continuity in Hilbert spaces, an inertial subgradient extragradient algorithm is proposed by virtue of non-monotone stepsizes. More...
关键词：variational inequality extragradient method PSEUDOMONOTONICITY Lipschitz continuity weak and linear convergence 
Existence of Solutions to a Generalized System
《Applied Mathematics》2012年第6期511-516,共6页Yali Zhao Lin Xing Jia Tao 
In this paper, we introduce a generalized system (for short, GS) in real Banach spaces. Using Brouwer’s fixed point theorem, we establish some existence theorems for the generalized system without monotonicity. Furth...
关键词：GENERALIZED System C-Strong PSEUDOMONOTONICITY Brouwer’s Fixed POINT THEOREM Hemicontinuous MAPPING 
The Equivalence about Strongly Pseudoinvexity and Strongly Invariant Pseudomonotonicity
《Chinese Quarterly Journal of Mathematics》2011年第4期608-612,共5页赵克全 陈哲 杨新民 
Supported by the National Science Foundation of China(10831009);Supported by the Special Fund of Chongqing Key Laboratory(CSTC);Supported by the Education Committee Research Foundation of Chongqing(KJ110625)
In this paper, the equivalence is established about strongly pseudoinvexity of function and invariant pseudomonotonicity of corresponding gradient map under some suitable conditions.
关键词：strictly pseudoinvexity strongly pseudoinvexity strictly invariant pseudomonotonicity strongly invariant pseudomonotonicity 
Generalized system for strongly g-r-pseudomonotonic nonlinear variational inequalities in Hilbert spaces被引量：1
《Applied Mathematics(A Journal of Chinese Universities)》2010年第1期63-68,共6页YANG Xin-bo PENG Jian-wen 
Supported by the Science and Technology Research Project of Chinese Ministry of Education (206123)
The approximation solvability of a generalized system for strongly g-r- pseudomonotonic nonlinear variational inequalities in Hilbert spaces is studied based on the convergence of the projection method. The results pr...
关键词：Projection method strong g-r-pseudomonotonicity variational inequality convergence. 
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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