This paper brings forward the concept of generalized H-spaces which extends the concepts of H-spaces and almost probabilistic metric spaces. In this paper, the uniformity and properties far generalized H-space are con...This paper brings forward the concept of generalized H-spaces which extends the concepts of H-spaces and almost probabilistic metric spaces. In this paper, the uniformity and properties far generalized H-space are considered. The conditions of metrization and the form of metric functions for generalized H-spaces, H-spaces and Menger PM-spaces are given and the characteristics of completeness and compactness for generalized H-spaces are presented. The results of this paper generalize and unify some recent results of [1-2, 8, 10].展开更多
Several theorems on closed (resp. open) covering properties of H-spaces are obtained which improve and generalize the corresponding results of Sperner, Klee, Alexandroff-Pasynkoff, Berge, Ghouila-Houri, Danzer-Grunbau...Several theorems on closed (resp. open) covering properties of H-spaces are obtained which improve and generalize the corresponding results of Sperner, Klee, Alexandroff-Pasynkoff, Berge, Ghouila-Houri, Danzer-Grunbaum-Klee, Ky Fan, Shih-Tan, Horvath and Lassonde. As application an almost fixed point theorem for lower semi-continuous map in l.c.-spaces and a generalization of Tychonoffs fixed point theorem are proved in l.c.-spaces which improve those results of Ky Fan and Horvath.展开更多
A new class of constrained multiobjective games with infinite players in noncompact locally convex H-spaces without linear structure are introduced and studied.By applying a Fan-Glicksberg type fixed point theorem for...A new class of constrained multiobjective games with infinite players in noncompact locally convex H-spaces without linear structure are introduced and studied.By applying a Fan-Glicksberg type fixed point theorem for upper semicontinuous set-valued mappings with closed acyclic values and a maximum theorem,several existence theorems of weighted Nath-equilibria and Pareto equilibria for the constrained multiobjective games are proved in noncompact locally convex H-spaces.These theorems improve,unify and generalize the corresponding results of the multiobjective games in recent literatures.展开更多
The purpose to this paper is to study the existence problem of solutions to the vector quasivariational inequality for vector-valued functions inH-space.
In this paper we study the properties of homotopy inverses of comultiplications and Mgebraic loops of co-H-spaces based on a wedge of spheres. We also investigate a method to construct new comultiplications out of old...In this paper we study the properties of homotopy inverses of comultiplications and Mgebraic loops of co-H-spaces based on a wedge of spheres. We also investigate a method to construct new comultiplications out of old ones by using a group action. We are primarily interested in the algebraic loops which have inversive, power-associative and Moufang properties for some comultiplications.展开更多
In this note we first prove a fixed point theorem in H-spaces which unities and extends the corresponding results in [6] and [9]. Then, by applying the fixed point theorem, we prove an existence theorem of an equilibr...In this note we first prove a fixed point theorem in H-spaces which unities and extends the corresponding results in [6] and [9]. Then, by applying the fixed point theorem, we prove an existence theorem of an equilibrium point of an abstract economy in H-spaces which improves and generalizes similar result in [4].展开更多
In this paper, we introduce and study the notion of HB-closed sets in L-topological space. Then, HB-convergence theory for L-molecular nets and L-ideals is established in terms of HB-closedness. Finally, we give a new...In this paper, we introduce and study the notion of HB-closed sets in L-topological space. Then, HB-convergence theory for L-molecular nets and L-ideals is established in terms of HB-closedness. Finally, we give a new definition of fuzzy H-continuous [1] which is called HB-continuity on the basis of the notion of H-bounded L-subsets in L-topological space. Then we give characterizations and properties by making use of HB-converges theory of L-molecular nets and L-ideals.展开更多
A complementarity hypothesis concerning outsider and insider perspectives of a gargantuan black hole is proposed. The two thought experiments presented herein are followed by a brief discussion of a new interpretation...A complementarity hypothesis concerning outsider and insider perspectives of a gargantuan black hole is proposed. The two thought experiments presented herein are followed by a brief discussion of a new interpretation of black hole interior “space-and-time-reversal”. Specifically, it is proposed that the “singularity” space of the black hole interior is time-like and the expansion time of the black hole interior is space-like. The resemblance of this new insider interpretation to our own expanding and redshifting big bang universe is compelling.展开更多
分析近三十年非点源污染研究发展趋势特征,旨在为下一阶段非点源污染研究提供技术参考。从Web of Science核心合集得到1990—2016年所有非点源污染研究文献,然后进行聚焦分析,确定主要文献来源,对比中外学者H指数。通过CiteSpace的关键...分析近三十年非点源污染研究发展趋势特征,旨在为下一阶段非点源污染研究提供技术参考。从Web of Science核心合集得到1990—2016年所有非点源污染研究文献,然后进行聚焦分析,确定主要文献来源,对比中外学者H指数。通过CiteSpace的关键词共现网络分析和文献共被引网络分析功能,识别了1990—2016年间三个主要阶段的核心关键词(作者关键词与扩展关键词)的变化,梳理了主要的共被引参考文献,得到非点源污染研究领域发展趋势和知识基础特征。国外和国内非点源污染的最早文献分别在1975年和1992年,1990年后全球范围内非点源相关研究快速发展,中国学者的研究在2005年后发展迅速。中外学者的H指数差距有减小趋势,中国学者在全球非点源污染研究领域的相对影响力不断提升。关键词分布中"流域"与"管理"逐渐凸显,"SWAT(Soil and Water Assessment Tool)"、"中国"、"气候变化"词频进入前30位。研究内容方面,非点源污染研究从点位尺度的观测过渡到流域尺度水质变化、氮磷污染输出规律、模型应用,基于GIS(Geographic information system)空间分析的水文模型在流域尺度的模拟、优化和运用,是非点源污染控制与评估的基础。随着研究的深入,流域尺度的精细管理、非点源污染模型开发与耦合、气候变化效应近期受到更多关注。对1990—2016年间高被引文献特征进行梳理分析可知,高被引文献涉及主题广泛,其中中国学者也有明显贡献,表明中国学者逐步成为非点源污染研究的主力。展开更多
文摘This paper brings forward the concept of generalized H-spaces which extends the concepts of H-spaces and almost probabilistic metric spaces. In this paper, the uniformity and properties far generalized H-space are considered. The conditions of metrization and the form of metric functions for generalized H-spaces, H-spaces and Menger PM-spaces are given and the characteristics of completeness and compactness for generalized H-spaces are presented. The results of this paper generalize and unify some recent results of [1-2, 8, 10].
基金This project partially supported by National Natural Science Foundation of ChinaThis work was partially supported by NSERC of Canada under grant A-8096
文摘Several theorems on closed (resp. open) covering properties of H-spaces are obtained which improve and generalize the corresponding results of Sperner, Klee, Alexandroff-Pasynkoff, Berge, Ghouila-Houri, Danzer-Grunbaum-Klee, Ky Fan, Shih-Tan, Horvath and Lassonde. As application an almost fixed point theorem for lower semi-continuous map in l.c.-spaces and a generalization of Tychonoffs fixed point theorem are proved in l.c.-spaces which improve those results of Ky Fan and Horvath.
文摘A new class of constrained multiobjective games with infinite players in noncompact locally convex H-spaces without linear structure are introduced and studied.By applying a Fan-Glicksberg type fixed point theorem for upper semicontinuous set-valued mappings with closed acyclic values and a maximum theorem,several existence theorems of weighted Nath-equilibria and Pareto equilibria for the constrained multiobjective games are proved in noncompact locally convex H-spaces.These theorems improve,unify and generalize the corresponding results of the multiobjective games in recent literatures.
基金Supported by the Science Research Foundation of Xianning Teacher's College( No.K9911)
文摘The purpose to this paper is to study the existence problem of solutions to the vector quasivariational inequality for vector-valued functions inH-space.
基金supported by Basic Science Research Program through the National Research Foundation of Korea (NRF)the Ministry of Education,Science and Technology (2010-0022035)
文摘In this paper we study the properties of homotopy inverses of comultiplications and Mgebraic loops of co-H-spaces based on a wedge of spheres. We also investigate a method to construct new comultiplications out of old ones by using a group action. We are primarily interested in the algebraic loops which have inversive, power-associative and Moufang properties for some comultiplications.
基金the National Natural Science Foundation of China (Grant No.10171043)
文摘In this note we first prove a fixed point theorem in H-spaces which unities and extends the corresponding results in [6] and [9]. Then, by applying the fixed point theorem, we prove an existence theorem of an equilibrium point of an abstract economy in H-spaces which improves and generalizes similar result in [4].
文摘In this paper, we introduce and study the notion of HB-closed sets in L-topological space. Then, HB-convergence theory for L-molecular nets and L-ideals is established in terms of HB-closedness. Finally, we give a new definition of fuzzy H-continuous [1] which is called HB-continuity on the basis of the notion of H-bounded L-subsets in L-topological space. Then we give characterizations and properties by making use of HB-converges theory of L-molecular nets and L-ideals.
文摘A complementarity hypothesis concerning outsider and insider perspectives of a gargantuan black hole is proposed. The two thought experiments presented herein are followed by a brief discussion of a new interpretation of black hole interior “space-and-time-reversal”. Specifically, it is proposed that the “singularity” space of the black hole interior is time-like and the expansion time of the black hole interior is space-like. The resemblance of this new insider interpretation to our own expanding and redshifting big bang universe is compelling.
文摘分析近三十年非点源污染研究发展趋势特征,旨在为下一阶段非点源污染研究提供技术参考。从Web of Science核心合集得到1990—2016年所有非点源污染研究文献,然后进行聚焦分析,确定主要文献来源,对比中外学者H指数。通过CiteSpace的关键词共现网络分析和文献共被引网络分析功能,识别了1990—2016年间三个主要阶段的核心关键词(作者关键词与扩展关键词)的变化,梳理了主要的共被引参考文献,得到非点源污染研究领域发展趋势和知识基础特征。国外和国内非点源污染的最早文献分别在1975年和1992年,1990年后全球范围内非点源相关研究快速发展,中国学者的研究在2005年后发展迅速。中外学者的H指数差距有减小趋势,中国学者在全球非点源污染研究领域的相对影响力不断提升。关键词分布中"流域"与"管理"逐渐凸显,"SWAT(Soil and Water Assessment Tool)"、"中国"、"气候变化"词频进入前30位。研究内容方面,非点源污染研究从点位尺度的观测过渡到流域尺度水质变化、氮磷污染输出规律、模型应用,基于GIS(Geographic information system)空间分析的水文模型在流域尺度的模拟、优化和运用,是非点源污染控制与评估的基础。随着研究的深入,流域尺度的精细管理、非点源污染模型开发与耦合、气候变化效应近期受到更多关注。对1990—2016年间高被引文献特征进行梳理分析可知,高被引文献涉及主题广泛,其中中国学者也有明显贡献,表明中国学者逐步成为非点源污染研究的主力。
