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A NEW CLASS OF BILEVEL GENERALIZED MIXED EQUILIBRIUM PROBLEMS IN BANACH SPACES 被引量:2
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作者 丁协平 《Acta Mathematica Scientia》 SCIE CSCD 2012年第4期1571-1583,共13页
A new class of bilcvel generalized mixed equilibrium problems involving setvalued mappings is introduced and studied in a real Banach space. By using the auxiliary principle technique, new iterative algorithms for sol... A new class of bilcvel generalized mixed equilibrium problems involving setvalued mappings is introduced and studied in a real Banach space. By using the auxiliary principle technique, new iterative algorithms for solving the generalized mixed equilibrium problems and bilevel generalized mixed equilibrium problems involving set-valued mappings are suggested and analyzed. Existence of solutions and strong convergence of the iterative sequences generated by the algorithms are proved under quite mild conditions. The behavior of the solution set of the generalized mixed equilibrium problems and bilevel generalized mixed equilibrium problems is also discussed. These results are new and generalize some recent results in this field. 展开更多
关键词 generalized mixed equilibrium problem bilevel generalized mixed equilib-rium problem involving set-valued mappings MONOTONICITY auxiliary prin-ciple iterative algorithm Banach space
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Existence and algorithm of solutions for a system of generalized mixed implicit equilibrium problems in Banach spaces
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作者 丁协平 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2010年第9期1049-1062,共14页
A new system of generalized mixed implicit equilibrium problems is introduced and studied in Banach spaces. First, the notion of the Yosida proximal mapping for generalized mixed implicit equilibrium problems is intro... A new system of generalized mixed implicit equilibrium problems is introduced and studied in Banach spaces. First, the notion of the Yosida proximal mapping for generalized mixed implicit equilibrium problems is introduced. By using the notion, a system of generalized equation problems is considered, and its equivalence with the system of generalized mixed implicit equilibrium problems is also proved. Next, by applying the system of generalized equation problems, we suggest and analyze an iterative algorithm to compute the approximate solutions of the system of generalized mixed implicit equilibrium problems. The strong convergence of the iterative sequences generated by the algorithm is proved under quite mild conditions. The results are new and unify and generalize some recent results in this field. 展开更多
关键词 generalized mixed implicit equilibrium problem Yosida proximal mapping generalized equation problem iterative algorithm Banach space
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A unified approach to the weighted Grtzsch and Nitsche problems for mappings of finite distortion 被引量:11
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作者 FENG XiaoGao TANG ShuAn +1 位作者 WU Chong SHEN YuLiang 《Science China Mathematics》 SCIE CSCD 2016年第4期673-686,共14页
This note deals with the existence and uniqueness of a minimiser of the following Grtzsch-type problem inf f ∈F∫∫_(Q_1)φ(K(z,f))λ(x)dxdyunder some mild conditions,where F denotes the set of all homeomorphims f wi... This note deals with the existence and uniqueness of a minimiser of the following Grtzsch-type problem inf f ∈F∫∫_(Q_1)φ(K(z,f))λ(x)dxdyunder some mild conditions,where F denotes the set of all homeomorphims f with finite linear distortion K(z,f)between two rectangles Q_1 and Q_2 taking vertices into vertices,φ is a positive,increasing and convex function,and λ is a positive weight function.A similar problem of Nitsche-type,which concerns the minimiser of some weighted functional for mappings between two annuli,is also discussed.As by-products,our discussion gives a unified approach to some known results in the literature concerning the weighted Grtzsch and Nitsche problems. 展开更多
关键词 mapping of finite distortion weighted Grtzsch problem weighted Nitsche problem
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Inverse full state hybrid projective synchronization for chaotic maps with different dimensions 被引量:3
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作者 Adel Ouannas Giuseppe Grassi 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第9期251-256,共6页
A new synchronization scheme for chaotic(hyperchaotic) maps with different dimensions is presented.Specifically,given a drive system map with dimension n and a response system with dimension m,the proposed approach ... A new synchronization scheme for chaotic(hyperchaotic) maps with different dimensions is presented.Specifically,given a drive system map with dimension n and a response system with dimension m,the proposed approach enables each drive system state to be synchronized with a linear response combination of the response system states.The method,based on the Lyapunov stability theory and the pole placement technique,presents some useful features:(i) it enables synchronization to be achieved for both cases of n 〈 m and n 〉 m;(ii) it is rigorous,being based on theorems;(iii) it can be readily applied to any chaotic(hyperchaotic) maps defined to date.Finally,the capability of the approach is illustrated by synchronization examples between the two-dimensional H′enon map(as the drive system) and the three-dimensional hyperchaotic Wang map(as the response system),and the three-dimensional H′enon-like map(as the drive system) and the two-dimensional Lorenz discrete-time system(as the response system). 展开更多
关键词 chaotic map full state hybrid projective synchronization inverse problem maps with different dimensions
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Problems on Scales and Maps
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《中学生数学(初中版)》 2007年第6期41-,共1页
Imaging that there is a part of the map of Sentosa Island.It reasonably represents the rela- tive positions of interest.The scale shown at the bottom centre of this map gives a measure of the ratio of the distance on ... Imaging that there is a part of the map of Sentosa Island.It reasonably represents the rela- tive positions of interest.The scale shown at the bottom centre of this map gives a measure of the ratio of the distance on the map to the actural distance. In this case,4 cm on the map represents 1 km.since a scale can be expressed in a ratio form, we have: 展开更多
关键词 problems on Scales and Maps LENGTH
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The Integration of Psychology and Linguistics from the Perspective of Cognitive Science—The Example of the Psychological Reality of Language
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作者 Wang Bo Luo Qiongpeng 李光辉 《Social Sciences in China》 2022年第4期137-151,共15页
In the traditional debate centered on the nature of language,the question of“the psychological reality of language”occupies a pivotal position.The key lies in the recognition of language(competence)as a natural enti... In the traditional debate centered on the nature of language,the question of“the psychological reality of language”occupies a pivotal position.The key lies in the recognition of language(competence)as a natural entity that exists in the brain in some physical way.The empirical research perspectives supporting the psychological reality of language fall into four main categories:(a)linguistic perspectives based on introspective linguistic intuitions;(b)developmental psychology perspectives;(c)psycholinguistic perspectives;(d)neurolinguistic perspectives.In analyzing the four areas of research,it is clear that psychological realism does indeed reveal the physiological basis of language ability,but it does not fully explain how“reality”is expressed,i.e.,at what level the operation and representation of language can be linked to human neurobiological mechanisms,and how the psychological reality of language is related to the semantic“material”reality of language.In essence,the ontological foundation of psychological realism is the logocentric tradition of“In the beginning was the Word,”while Chinese thought,which espouses“In the beginning was the Deed,”provides a transcendental framework for solving the dilemma of psychological realism by virtue of its self-cultivation theory of“heaven,in its motion,shows strength.”The focus is not on how language precisely maps reality,but how to mobilize the energy of language through the cultivation of the body and mind.This implies that human language and even its physiological basis develop according to how one learns to change the natural world,and that the most essential basis of language is the change in the world caused by its“doing”(self-cultivation),thus providing an adequate explanation for the problem of the psychological reality of language. 展开更多
关键词 psychological reality LOGOCENTRISM mapping problem IMMANENCE life form SELF-CULTIVATION
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On palaeogeographic map
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作者 Zeng-Zhao Feng 《Journal of Palaeogeography》 SCIE CSCD 2016年第1期1-27,共27页
The palaeogeographic map is a graphic representation of physical geographical character- istics in geological history periods and human history periods. It is the most important result of palaeogeographic study. The a... The palaeogeographic map is a graphic representation of physical geographical character- istics in geological history periods and human history periods. It is the most important result of palaeogeographic study. The author, as the Editor-in-Chief oflournal of Palaeogeography, Chinese Edition and English Edition, aimed at the problems of the articles submitted to and published in the]ournal of Palaeogeography in recent years and the relevant papers and books of others, and integrated with his practice of palaeogeographic study and mapping, wrote this paper. The content mainly includes the data of palaeogeographic mapping, the prob- lems of palaeogeographic mapping method, the "Single factor analysis and multifactor comprehensive mapping method ---- Methodology of quantitative lithofacies palae- ogeography', i.e., the "4 steps mapping method", the nomenclature of each palaeogeographic unit in palaeogeographic map, the explanation of each palaeogeographic unit in palae- ogeographic map, the explanation of significance of palaeogeographic map and palae- ogeographic article, the evaluative standards of palaeogeographic map and palaeogeographic article, and the self-evaluation. Criticisms and corrections are welcome. 2016 China University of Petroleum {Beijing). Production and hosting by Elsevier B.V. on behalf of China University of Petroleum (Beijing). This is an open access article under 展开更多
关键词 Palaeogeographic mapPalaeogeographyData is the first necessaryMethod is the key problem4 steps mapping methodThe name must match its realityEvaluative standardsTo take responsibility for authorsreaders and human society
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