The purpose of this paper is to investigate some sufficient and necessary conditions for three-step Ishikawa iterative sequences with error terms for uniformly quasi-Lipschitzian mappings to converge to fixed points. ...The purpose of this paper is to investigate some sufficient and necessary conditions for three-step Ishikawa iterative sequences with error terms for uniformly quasi-Lipschitzian mappings to converge to fixed points. Our results extend and improve the recent ones announced by Liu [3,4], Xu and Noor [5], and many others.展开更多
For CAX systems,the technology of Feature-based product data integration is one of hot points. STEP AP214 protocol provides a standard to resolve this problem. This paper discusses the relations of entities in STEP AP...For CAX systems,the technology of Feature-based product data integration is one of hot points. STEP AP214 protocol provides a standard to resolve this problem. This paper discusses the relations of entities in STEP AP214. Especially,for the problem that the protocol doesn't obviously give those features,it puts forward methods on expression and operation of feature-oriented data model. It gives the feature model mapping between AP214 and feature-based CAD systems,which is a basal theory to design out a uniform feature model of CAD/CAPP/CAM.展开更多
An auxiliary principle technique to study a class of generalized set-valued strongly nonlinear mixed variational-like inequalities is extended. The existence and uniqueness of the solution of the auxiliary problem for...An auxiliary principle technique to study a class of generalized set-valued strongly nonlinear mixed variational-like inequalities is extended. The existence and uniqueness of the solution of the auxiliary problem for the generalized set-valued strongly nonlinear mixed variational-like inequalities are proved, a novel and innovative three-step iterative algorithm to compute approximate solution is constructed, and the existence of the solution of the generalized set-valued strongly nonlinear mixed variational-like inequality is shown using the auxiliary principle iterative sequences generated by the algorithm technique. The convergence of three-step is also proved.展开更多
基金The author is thankful to the National Science Foundation of China for support through Grant 10171118
文摘The purpose of this paper is to investigate some sufficient and necessary conditions for three-step Ishikawa iterative sequences with error terms for uniformly quasi-Lipschitzian mappings to converge to fixed points. Our results extend and improve the recent ones announced by Liu [3,4], Xu and Noor [5], and many others.
文摘For CAX systems,the technology of Feature-based product data integration is one of hot points. STEP AP214 protocol provides a standard to resolve this problem. This paper discusses the relations of entities in STEP AP214. Especially,for the problem that the protocol doesn't obviously give those features,it puts forward methods on expression and operation of feature-oriented data model. It gives the feature model mapping between AP214 and feature-based CAD systems,which is a basal theory to design out a uniform feature model of CAD/CAPP/CAM.
基金Project supported by the National Natural Science Foundation of China (No.10472061)
文摘An auxiliary principle technique to study a class of generalized set-valued strongly nonlinear mixed variational-like inequalities is extended. The existence and uniqueness of the solution of the auxiliary problem for the generalized set-valued strongly nonlinear mixed variational-like inequalities are proved, a novel and innovative three-step iterative algorithm to compute approximate solution is constructed, and the existence of the solution of the generalized set-valued strongly nonlinear mixed variational-like inequality is shown using the auxiliary principle iterative sequences generated by the algorithm technique. The convergence of three-step is also proved.
