In this paper, some results concerning the relationship between the bounded-ness of some spheres and the local boundedness of the .F*-space are presented. Moreover, some results about the compactness are also given.
In this paper, we study some new systems of generalized quasi-variational inclusion problems in FC-spaces without convexity structure.By applying an existence theorem of maximal elements of set-valued mappings due to ...In this paper, we study some new systems of generalized quasi-variational inclusion problems in FC-spaces without convexity structure.By applying an existence theorem of maximal elements of set-valued mappings due to the author, some new existence theorems of solutions for the systems of generalized quasi-variational inclusion problems are proved in noncompact FC-spaces. As applications, some existence results of solutions for the system of quasi-optimization problems and mathematical programs with the systems of generalized quasi-variational inclusion constraints are obtained in FC-spaces.展开更多
A class of generalized vector variational-type inequality problems (GVVTIP) are studied in FC-spaces, which includes the most of vector equilibrium problems, vector variational inequality problems, generalized vecto...A class of generalized vector variational-type inequality problems (GVVTIP) are studied in FC-spaces, which includes the most of vector equilibrium problems, vector variational inequality problems, generalized vector equilibrium problems and general- ized vector variational inequality problem as special cases. By using F-KKM theorem, some new existence results for GVVTIP axe established in noncompact FC-space. As consequences, some recent known results in literature are obtained under much weaker assumption.展开更多
The purpose of this paper is to construct near-vector spaces using a result by Van der Walt, with Z<sub>p</sub> for p a prime, as the underlying near-field. There are two notions of near-vector spaces, we ...The purpose of this paper is to construct near-vector spaces using a result by Van der Walt, with Z<sub>p</sub> for p a prime, as the underlying near-field. There are two notions of near-vector spaces, we focus on those studied by André [1]. These near-vector spaces have recently proven to be very useful in finite linear games. We will discuss the construction and properties, give examples of these near-vector spaces and give its application in finite linear games.展开更多
基于目前基站空间分布无固定规律性这一现状,为了探究基站空间分布特性,提出一套测量方案,结合F函数(empty space function)及包络函数理论分别对英国3种不同区域的实际基站分布数据进行了分析并对比。当F函数自变量r足够小或足够大时,...基于目前基站空间分布无固定规律性这一现状,为了探究基站空间分布特性,提出一套测量方案,结合F函数(empty space function)及包络函数理论分别对英国3种不同区域的实际基站分布数据进行了分析并对比。当F函数自变量r足够小或足够大时,3个区域基站分布均接近较理想的泊松分布状态,当r分别达到一定数值时基站分布呈现聚集性的特点。同时,不同区域基站的聚集程度由其特有的地理环境和人口分布决定,基站分布密度与人口密度成正相关。两市区基站技术选型配比近似,郊区基站中涉及第3代移动通信技术的基站占主导。展开更多
基金This research is supported by National Natural Science Foundation of China(19971046) RFDP(2001005513)
文摘In this paper, some results concerning the relationship between the bounded-ness of some spheres and the local boundedness of the .F*-space are presented. Moreover, some results about the compactness are also given.
基金supported by the Scientific Research Fun of Sichuan Normal University(09ZDL04)the Sichuan Province Leading Academic Discipline Project(SZD0406)
文摘In this paper, we study some new systems of generalized quasi-variational inclusion problems in FC-spaces without convexity structure.By applying an existence theorem of maximal elements of set-valued mappings due to the author, some new existence theorems of solutions for the systems of generalized quasi-variational inclusion problems are proved in noncompact FC-spaces. As applications, some existence results of solutions for the system of quasi-optimization problems and mathematical programs with the systems of generalized quasi-variational inclusion constraints are obtained in FC-spaces.
基金Project supported by the Natural Science Foundation of Sichuan Education Department of China(No.2003A081)
文摘A class of generalized vector variational-type inequality problems (GVVTIP) are studied in FC-spaces, which includes the most of vector equilibrium problems, vector variational inequality problems, generalized vector equilibrium problems and general- ized vector variational inequality problem as special cases. By using F-KKM theorem, some new existence results for GVVTIP axe established in noncompact FC-space. As consequences, some recent known results in literature are obtained under much weaker assumption.
文摘The purpose of this paper is to construct near-vector spaces using a result by Van der Walt, with Z<sub>p</sub> for p a prime, as the underlying near-field. There are two notions of near-vector spaces, we focus on those studied by André [1]. These near-vector spaces have recently proven to be very useful in finite linear games. We will discuss the construction and properties, give examples of these near-vector spaces and give its application in finite linear games.
文摘基于目前基站空间分布无固定规律性这一现状,为了探究基站空间分布特性,提出一套测量方案,结合F函数(empty space function)及包络函数理论分别对英国3种不同区域的实际基站分布数据进行了分析并对比。当F函数自变量r足够小或足够大时,3个区域基站分布均接近较理想的泊松分布状态,当r分别达到一定数值时基站分布呈现聚集性的特点。同时,不同区域基站的聚集程度由其特有的地理环境和人口分布决定,基站分布密度与人口密度成正相关。两市区基站技术选型配比近似,郊区基站中涉及第3代移动通信技术的基站占主导。