Abstract The main purpose of this article is to prove a collection of new nxea point theorems for (ws)-compact and so-called 1-set weakly contractive operators under Leray- Schauder boundary condition. We also intro...Abstract The main purpose of this article is to prove a collection of new nxea point theorems for (ws)-compact and so-called 1-set weakly contractive operators under Leray- Schauder boundary condition. We also introduce the concept of semi-closed operator at the origin and obtain a series of new fixed point theorems for such class of operators. As consequences, we get new fixed point existence for (ws)-compact (in particular nonexpansive) self mappings unbounded closed convex subset of Banach spaces. The main condition in our results is formulated in terms of axiomatic measures of weak noncompactness. Later on, we give an application to generalized Hammerstein type integral equations.展开更多
WS-BPEL(business process execution language for Web service)是一种基于XML的、面向过程的可执行服务组装语言.由于Web服务的动态性、松耦合特性、部署与运行于开放的网络环境,如何保证WS-BPEL程序的可靠性尤显重要.尽管变异测试具...WS-BPEL(business process execution language for Web service)是一种基于XML的、面向过程的可执行服务组装语言.由于Web服务的动态性、松耦合特性、部署与运行于开放的网络环境,如何保证WS-BPEL程序的可靠性尤显重要.尽管变异测试具有较强的故障检测能力,但由于变异体数量大、执行时间长、计算开销大,不利于在实践中广泛应用.为了增强变异测试的实用性,针对如何降低面向WS-BPEL程序的变异测试开销问题,从二阶变异和变异算子优先级角度提出了2种面向WS-BPEL程序的变异测试优化技术,开发了相应的集成化支持工具μBPEL.使用6个WS-BPEL程序实例对提出的优化技术的有效性进行验证.实验结果表明:提出的优化技术可以有效地减少变异体数目而并不显著降低变异测试有效性,提高了变异测试的效率.展开更多
E E. Browder and W. V. Petryshyn defined the topological degree for A- proper mappings and then W. V. Petryshyn studied a class of A-proper mappings, namely, P1-compact mappings and obtained a number of important fixe...E E. Browder and W. V. Petryshyn defined the topological degree for A- proper mappings and then W. V. Petryshyn studied a class of A-proper mappings, namely, P1-compact mappings and obtained a number of important fixed point theorems by virtue of the topological degree theory. In this paper, following W. V. Petryshyn, we continue to study P1-compact mappings and investigate the boundary condition, under which many new fixed point theorems of P1-compact mappings are obtained. On the other hand, this class of A-proper mappings with the boundedness property includes completely continuous operators and so, certain interesting new fixed point theorems for completely continuous operators are obtained immediately. As a result of it, our results generalize several famous theorems such as Leray-Schauder's theorem, Rothe's theorem, Altman's theorem, Petryshyn's theorem, etc.展开更多
文摘Abstract The main purpose of this article is to prove a collection of new nxea point theorems for (ws)-compact and so-called 1-set weakly contractive operators under Leray- Schauder boundary condition. We also introduce the concept of semi-closed operator at the origin and obtain a series of new fixed point theorems for such class of operators. As consequences, we get new fixed point existence for (ws)-compact (in particular nonexpansive) self mappings unbounded closed convex subset of Banach spaces. The main condition in our results is formulated in terms of axiomatic measures of weak noncompactness. Later on, we give an application to generalized Hammerstein type integral equations.
文摘WS-BPEL(business process execution language for Web service)是一种基于XML的、面向过程的可执行服务组装语言.由于Web服务的动态性、松耦合特性、部署与运行于开放的网络环境,如何保证WS-BPEL程序的可靠性尤显重要.尽管变异测试具有较强的故障检测能力,但由于变异体数量大、执行时间长、计算开销大,不利于在实践中广泛应用.为了增强变异测试的实用性,针对如何降低面向WS-BPEL程序的变异测试开销问题,从二阶变异和变异算子优先级角度提出了2种面向WS-BPEL程序的变异测试优化技术,开发了相应的集成化支持工具μBPEL.使用6个WS-BPEL程序实例对提出的优化技术的有效性进行验证.实验结果表明:提出的优化技术可以有效地减少变异体数目而并不显著降低变异测试有效性,提高了变异测试的效率.
基金Supported in part by Education Ministry,Anhui Province,China(No:2003kj047zd)
文摘E E. Browder and W. V. Petryshyn defined the topological degree for A- proper mappings and then W. V. Petryshyn studied a class of A-proper mappings, namely, P1-compact mappings and obtained a number of important fixed point theorems by virtue of the topological degree theory. In this paper, following W. V. Petryshyn, we continue to study P1-compact mappings and investigate the boundary condition, under which many new fixed point theorems of P1-compact mappings are obtained. On the other hand, this class of A-proper mappings with the boundedness property includes completely continuous operators and so, certain interesting new fixed point theorems for completely continuous operators are obtained immediately. As a result of it, our results generalize several famous theorems such as Leray-Schauder's theorem, Rothe's theorem, Altman's theorem, Petryshyn's theorem, etc.