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Ill-Posedness of Compact Operator Equation and Its Application in One-Dimensional Backward Heat Conduction Problem 紧算子方程的病态性及其在一维逆向热传导问题中的应用
应用泛函分析学报 Pub Date : 2012-01-01 DOI: 10.3724/SP.J.1160.2012.00140
Tao Min, Ningguo Ge, M. Zhang, Fang-di Zhang
{"title":"Ill-Posedness of Compact Operator Equation and Its Application in One-Dimensional Backward Heat Conduction Problem","authors":"Tao Min, Ningguo Ge, M. Zhang, Fang-di Zhang","doi":"10.3724/SP.J.1160.2012.00140","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00140","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"140"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69836888","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Two Classes of Iterative Algorithms for Solving Monotone Variational Inequality Problems 求解单调变分不等式问题的两类迭代算法
应用泛函分析学报 Pub Date : 2012-01-01 DOI: 10.3724/SP.J.1160.2012.00109
Rong Zhen
{"title":"Two Classes of Iterative Algorithms for Solving Monotone Variational Inequality Problems","authors":"Rong Zhen","doi":"10.3724/SP.J.1160.2012.00109","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00109","url":null,"abstract":"Two classes of iterative algorithms for solving monotone variational inequality problems were proposed.Via solving strongly monotone variational inequality problem,the algorithms generated two iterative sequences which weakly converged to a solution of the variational inequality problems.In the end,the convergence of these two new classes of iterative algorithms was analyzed.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"109"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69836133","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Positive Solutions of Sublinear Singular Dirichlet Problems 次线性奇异狄利克雷问题的正解
应用泛函分析学报 Pub Date : 2012-01-01 DOI: 10.3724/SP.J.1160.2012.00135
Zhilong Li, Shujun Jiang
{"title":"Positive Solutions of Sublinear Singular Dirichlet Problems","authors":"Zhilong Li, Shujun Jiang","doi":"10.3724/SP.J.1160.2012.00135","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00135","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"135"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69836774","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Closed Graph Theorem for Qr Spaces Qr空间的闭图定理
应用泛函分析学报 Pub Date : 2012-01-01 DOI: 10.3724/SP.J.1160.2012.00193
Lizhong Huang
{"title":"Closed Graph Theorem for Qr Spaces","authors":"Lizhong Huang","doi":"10.3724/SP.J.1160.2012.00193","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00193","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"193"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69836978","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Subdifferentials for Set-valued Maps and Optimality Conditions for Set-valued Vector Optimization 集值映射的子微分与集值向量优化的最优性条件
应用泛函分析学报 Pub Date : 2012-01-01 DOI: 10.3724/SP.J.1160.2012.00100
Xiulin Wang, X. Gong
{"title":"Subdifferentials for Set-valued Maps and Optimality Conditions for Set-valued Vector Optimization","authors":"Xiulin Wang, X. Gong","doi":"10.3724/SP.J.1160.2012.00100","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00100","url":null,"abstract":"Based on the concept of the weak subdifferential for set-valued maps introduced by Sawaragi and Tanino we give the definition of Henig global subdifferentials for set-valued maps.We investigate the existence condition for this kind of subdifferential,and discuss its operational property. Using this concepts,we present the necessary condition and sufficient condition for Henig globally proper efficient solution pair for constrained set-valued vector optimization problem,respectively.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"100"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69836041","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fredholm Integral Equations for Solving the First Class of Three-dimensional GMRES Method 求解第一类三维GMRES方法的Fredholm积分方程
应用泛函分析学报 Pub Date : 2012-01-01 DOI: 10.3724/SP.J.1160.2012.00234
Tao Min, Miaomiao Zhao
{"title":"Fredholm Integral Equations for Solving the First Class of Three-dimensional GMRES Method","authors":"Tao Min, Miaomiao Zhao","doi":"10.3724/SP.J.1160.2012.00234","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00234","url":null,"abstract":"Using numerical integration formula,the three-dimensional Predholm integral equation was discrete.By introducing the regularization method,the discredited integral equation was transformed into a posed problem of discrete and the numerical solution was obtained by generalized minimal residual algorithm.The simulation results show that the method is feasible and effective.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"234"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69837122","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On The Steady-State Solution of the M/M/1 Retrial Queueing Model with Server Breakdowns 考虑服务器故障的M/M/1重试排队模型的稳态解
应用泛函分析学报 Pub Date : 2012-01-01 DOI: 10.3724/SP.J.1160.2012.00258
Liqin Zheng, Gupur Geni
{"title":"On The Steady-State Solution of the M/M/1 Retrial Queueing Model with Server Breakdowns","authors":"Liqin Zheng, Gupur Geni","doi":"10.3724/SP.J.1160.2012.00258","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00258","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"258"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69837350","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Viscosity Approximation Methods for Strong Vector Equilibrium Problems and Fixed Point Problems 强矢量平衡问题和不动点问题的黏度近似方法
应用泛函分析学报 Pub Date : 2012-01-01 DOI: 10.3724/SP.J.1160.2012.00183
Qiu-ying Li, San-hua Wang
{"title":"Viscosity Approximation Methods for Strong Vector Equilibrium Problems and Fixed Point Problems","authors":"Qiu-ying Li, San-hua Wang","doi":"10.3724/SP.J.1160.2012.00183","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00183","url":null,"abstract":"In this paper,we study the problem of finding a common element of the set of solutions of a strong vector equilibrium problem and the set of fixed points of a nonexpansive mapping in Hilbert space.We first give the auxiliary problem for the strong vector equilibrium problem and obtain some results of existence and uniqueness of solutions of the auxiliary problem under suitable conditions.Then,by virtue of these results,we propose a viscosity iterative scheme for finding a common element of the set of solutions of the strong vector equilibrium problem and the set of fixed points of the nonexpansive mapping.Furthermore,we prove that,under suitable conditions,the sequences generated by this iterative scheme converge strongly to a common element of the set of solutions of the strong vector equilibrium problem and the set of fixed points of the nonexpansive mapping.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"183"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69836911","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Gleason-Kahane-(Z)elazko Theorem in a Complete Random Normed Algebra 完全随机赋范代数中的Gleason-Kahane-(Z)elazko定理
应用泛函分析学报 Pub Date : 2012-01-01 DOI: 10.3724/SP.J.1160.2012.00040
Tang Yuehan
{"title":"Gleason-Kahane-(Z)elazko Theorem in a Complete Random Normed Algebra","authors":"Tang Yuehan","doi":"10.3724/SP.J.1160.2012.00040","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00040","url":null,"abstract":"In this paper we first present the notion of L°-linear function which is multiplicative on some stratification.Moreover,we establish the Gleason-Kahane-Zelazko theorem in an unital complete random normed algebra.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"40"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69835614","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Vector Equilibrium Problem with Domination Structure and Property of Its Solution Set 具有控制结构的向量平衡问题及其解集性质
应用泛函分析学报 Pub Date : 2012-01-01 DOI: 10.3724/SP.J.1160.2012.00001
Fu Jun-yi, San-hua Wang
{"title":"Vector Equilibrium Problem with Domination Structure and Property of Its Solution Set","authors":"Fu Jun-yi, San-hua Wang","doi":"10.3724/SP.J.1160.2012.00001","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2012.00001","url":null,"abstract":"In this paper,a kind of vector equilibrium problem with domination structure and a new pseudomonotonicity for vector mappings are presented.Existence of solutions for vector equilibrium problem with domination structure and the compactness and convexity of solution set are established. As applications,existence of solutions for vector variational inequalities and vector complementarity problems with domination structure are derived.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"14 1","pages":"1"},"PeriodicalIF":0.0,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69835744","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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