Pub Date : 2013-01-01DOI: 10.3724/SP.J.1160.2013.00026
Wen Kai-ting
In this paper,with the help of the KKM technique,a new fixed point theorem for transfer compactly open valued mappings is established in FC-metric spaces.As applications,a maximal element theorem,an intersection theorem,a minimax inequality and a saddle point theorem are obtained in FC-metric spaces.Our results unify,improve and generalize some known results in recent references.
{"title":"A New Fixed Point Theorem in FC-Metric Spaces with the Application to Saddle Points","authors":"Wen Kai-ting","doi":"10.3724/SP.J.1160.2013.00026","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00026","url":null,"abstract":"In this paper,with the help of the KKM technique,a new fixed point theorem for transfer compactly open valued mappings is established in FC-metric spaces.As applications,a maximal element theorem,an intersection theorem,a minimax inequality and a saddle point theorem are obtained in FC-metric spaces.Our results unify,improve and generalize some known results in recent references.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"26"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69838340","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}
{"title":"p-convex Function and Some Inequalities","authors":"Renjie Shi, Z. Fang","doi":"10.3724/SP.J.1160.2013.00082","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00082","url":null,"abstract":"In this paper,we investigate new properties and criterions of p- convex function,and also establish Jensen,Rado and Hadamard inequalities.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"82"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69838554","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 : 2013-01-01DOI: 10.3724/SP.J.1160.2013.00234
Yihong Xu, Qianqian Han, Xiangqiu Tu
In real normed linear spaces,by virtue of the cone-directed higher order generalized adjacent derivatives,a higher order Mond-Weir dual problem for a constrained set-valued optimization is considered in the sense of super efficient solutions.Under the assumption of generalized cone-convexity,with the help of the properties of cone-directed higher order generalized adjacent derivatives by applying separate theorem for convex sets,a strong duality theorem is established.By taking advantage of the scalarization theorem for a super efficient point,a converse duality theorem is obtained.
{"title":"Higher Order Mond-Weir Duality for Super Efficient Solutions of Set-Valued Optimization","authors":"Yihong Xu, Qianqian Han, Xiangqiu Tu","doi":"10.3724/SP.J.1160.2013.00234","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00234","url":null,"abstract":"In real normed linear spaces,by virtue of the cone-directed higher order generalized adjacent derivatives,a higher order Mond-Weir dual problem for a constrained set-valued optimization is considered in the sense of super efficient solutions.Under the assumption of generalized cone-convexity,with the help of the properties of cone-directed higher order generalized adjacent derivatives by applying separate theorem for convex sets,a strong duality theorem is established.By taking advantage of the scalarization theorem for a super efficient point,a converse duality theorem is obtained.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"234"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69839035","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 : 2013-01-01DOI: 10.3724/SP.J.1160.2013.00272
Chen Yang, C. Zhai
By means of the fixed point theorems of generalized concave operators,a class of perturbed third-order two-point boundary value problem with a parameter is studied.The existence and uniqueness of positive solutions for this boundary value problem is obtained.
{"title":"Existence-uniqueness of Positive Solutions for Perturbed Third-order Boundary Values with a Parameter","authors":"Chen Yang, C. Zhai","doi":"10.3724/SP.J.1160.2013.00272","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00272","url":null,"abstract":"By means of the fixed point theorems of generalized concave operators,a class of perturbed third-order two-point boundary value problem with a parameter is studied.The existence and uniqueness of positive solutions for this boundary value problem is obtained.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"272"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69839579","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 : 2013-01-01DOI: 10.3724/SP.J.1160.2013.00306
Bo Liu, G. Chai
{"title":"Coupled Coincidence Point Theorems for α-ψ-Contractive Type Mappings in G-Metric Spaces","authors":"Bo Liu, G. Chai","doi":"10.3724/SP.J.1160.2013.00306","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00306","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"306"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69839923","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 : 2013-01-01DOI: 10.3724/SP.J.1160.2013.00047
Yupin Wang
{"title":"Inverse Nodal Problem for Integro-differential Operators on the Finite Interval","authors":"Yupin Wang","doi":"10.3724/SP.J.1160.2013.00047","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00047","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"47"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69838413","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 : 2013-01-01DOI: 10.3724/SP.J.1160.2013.00109
Hong-xing Wu, Shenghua Wang
The objective of this paper is to research transport equations with anisotropic continuous energy homogeneous slab geometry for abstract boundary conditions in L_p(1≤p+∝) space.By resolvent operator approach,it is to obtain that the spectrum of the transport operator only consist of finitely many isolate eigenvalues which have a finite algebraic multiplicity in the trip(?)_e.
{"title":"The Spectrum of a Transport Operator with Abstract Boundary Conditions","authors":"Hong-xing Wu, Shenghua Wang","doi":"10.3724/SP.J.1160.2013.00109","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00109","url":null,"abstract":"The objective of this paper is to research transport equations with anisotropic continuous energy homogeneous slab geometry for abstract boundary conditions in L_p(1≤p+∝) space.By resolvent operator approach,it is to obtain that the spectrum of the transport operator only consist of finitely many isolate eigenvalues which have a finite algebraic multiplicity in the trip(?)_e.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"109"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69838505","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 : 2013-01-01DOI: 10.3724/SP.J.1160.2013.00088
Hongying Lu, Gang Yu
A discrete almost periodic Leslie predator-prey system with time delay and feedback controls is considered.By applying the difference inequality and constructing the suitable Liapunov functional,some sufficient conditions are obtained for the permanence and global attractivity of the system.Further,by using an almost periodic functional hull theory,we show that the almost periodic system has a unique strictly positive almost periodic solution which is globally attractive.
{"title":"Almost Periodic Solutions for a Discrete Leslie System with Time Delay and Feedback Controls","authors":"Hongying Lu, Gang Yu","doi":"10.3724/SP.J.1160.2013.00088","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00088","url":null,"abstract":"A discrete almost periodic Leslie predator-prey system with time delay and feedback controls is considered.By applying the difference inequality and constructing the suitable Liapunov functional,some sufficient conditions are obtained for the permanence and global attractivity of the system.Further,by using an almost periodic functional hull theory,we show that the almost periodic system has a unique strictly positive almost periodic solution which is globally attractive.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"88"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69838858","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 : 2013-01-01DOI: 10.3724/SP.J.1160.2013.00147
Liu Li
{"title":"An Existence Theorem About the Weakly Efficient Solution of the Vector Optimization Problem in Hausdorff Space","authors":"Liu Li","doi":"10.3724/SP.J.1160.2013.00147","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00147","url":null,"abstract":"","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"147"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69838954","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 : 2013-01-01DOI: 10.3724/SP.J.1160.2013.00225
Chunsheng Cui, Q. Li
The evaluation of software talent is studied in this paper with MIS project management as an example of talent.Firstly,the evaluation index system of MIS project management is analyzed,and four general categories of index are proposed.Based on the analysis of the evaluation methods of talent,the dependent degree of extensics is chosen.The advantage of this method is that the pros and cons are determined by the degree of conformity and dependent degree which come from correlation function.With this method,not only the optimal result is obtained,but also sub-optimal results can be identified.So the pros and cons of all objects can be compared,which provide a new method and new idea for human resource managers.
{"title":"Software Talent Evaluation based on Dependent Degree of Extensics in the Case of MIS Project Management","authors":"Chunsheng Cui, Q. Li","doi":"10.3724/SP.J.1160.2013.00225","DOIUrl":"https://doi.org/10.3724/SP.J.1160.2013.00225","url":null,"abstract":"The evaluation of software talent is studied in this paper with MIS project management as an example of talent.Firstly,the evaluation index system of MIS project management is analyzed,and four general categories of index are proposed.Based on the analysis of the evaluation methods of talent,the dependent degree of extensics is chosen.The advantage of this method is that the pros and cons are determined by the degree of conformity and dependent degree which come from correlation function.With this method,not only the optimal result is obtained,but also sub-optimal results can be identified.So the pros and cons of all objects can be compared,which provide a new method and new idea for human resource managers.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"225"},"PeriodicalIF":0.0,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69839482","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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