Pub Date : 2012-01-01DOI: 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}
Pub Date : 2012-01-01DOI: 10.3724/SP.J.1160.2012.00109
Rong Zhen
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.
{"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}
Pub Date : 2012-01-01DOI: 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}
Pub Date : 2012-01-01DOI: 10.3724/SP.J.1160.2012.00100
Xiulin Wang, X. Gong
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.
{"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}
Pub Date : 2012-01-01DOI: 10.3724/SP.J.1160.2012.00234
Tao Min, Miaomiao Zhao
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.
{"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}
Pub Date : 2012-01-01DOI: 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}
Pub Date : 2012-01-01DOI: 10.3724/SP.J.1160.2012.00183
Qiu-ying Li, San-hua Wang
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.
{"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}
Pub Date : 2012-01-01DOI: 10.3724/SP.J.1160.2012.00040
Tang Yuehan
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.
{"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}
Pub Date : 2012-01-01DOI: 10.3724/SP.J.1160.2012.00001
Fu Jun-yi, San-hua Wang
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.
{"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}
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