In this paper,we consider a new algorithm for a generalized system for relaxed coercive nonlinear inequalities involving three different operators in Hilbert spaces by the convergence of projection methods.Our results...In this paper,we consider a new algorithm for a generalized system for relaxed coercive nonlinear inequalities involving three different operators in Hilbert spaces by the convergence of projection methods.Our results include the previous results as special cases extend and improve the main results obtained by many others.展开更多
Recently, double projection methods for solving variational inequalities havereceived much attention due to their fewer projection times at each iteration. In this paper, weunify these double projection methods within...Recently, double projection methods for solving variational inequalities havereceived much attention due to their fewer projection times at each iteration. In this paper, weunify these double projection methods within two unified frameworks, which contain the existingdouble projection methods as special cases. On the basis of this unification, theoretical andnumerical comparison between these double projection methods is presented.展开更多
基金Supported by the NSF of Henan Province(092300410150)Supported by the NSF of Department Education of Henan Province(2009C110002)Supported by the Key Teacher Foundation of Huanghuai University
文摘In this paper,we consider a new algorithm for a generalized system for relaxed coercive nonlinear inequalities involving three different operators in Hilbert spaces by the convergence of projection methods.Our results include the previous results as special cases extend and improve the main results obtained by many others.
基金This work is supported by the Natural Science Foundation of China (Grant No. 10171055, 10231060).
文摘Recently, double projection methods for solving variational inequalities havereceived much attention due to their fewer projection times at each iteration. In this paper, weunify these double projection methods within two unified frameworks, which contain the existingdouble projection methods as special cases. On the basis of this unification, theoretical andnumerical comparison between these double projection methods is presented.
