本文的第一个目的是推广 Sehgal,Bharuch-Reid 的压缩映象定理;第二个目的是讨论不动点的逼近问题,所得结果改进和统一了游兆永教授的相应定理。为了方便起见,我们先简述有关符号和术语。本文用 R 表实数集,R^+表非负实数集,D 表一切分...本文的第一个目的是推广 Sehgal,Bharuch-Reid 的压缩映象定理;第二个目的是讨论不动点的逼近问题,所得结果改进和统一了游兆永教授的相应定理。为了方便起见,我们先简述有关符号和术语。本文用 R 表实数集,R^+表非负实数集,D 表一切分布函数(即定义在 R 上不减的,左连续的,下确界为0,上确界为1的实值函数)的集合,而用 H 表示特征函数。展开更多
The main purpose of this paper is to study the surjectivity theorems for maximal monotone mapping in reflexive Banach spaces by using fixed point theory. We prove some new surjectivity theorems under some conditions a...The main purpose of this paper is to study the surjectivity theorems for maximal monotone mapping in reflexive Banach spaces by using fixed point theory. We prove some new surjectivity theorems under some conditions and give its application in differential equation.展开更多
In the present paper, by virtue of new approch techniques, we obtain several mapping theorems involving compact perturbations of m—accretive operators.These results improve and extend the corresponding those obtained...In the present paper, by virtue of new approch techniques, we obtain several mapping theorems involving compact perturbations of m—accretive operators.These results improve and extend the corresponding those obtained by Kartsatos,Zhu, and Kartsatos and Mabry.展开更多
In this work, the authors introduce the concept of(p, q)-quasi-contraction mapping in a cone metric space. We prove the existence and uniqueness of a fixed point for a(p, q)-quasi-contraction mapping in a complete con...In this work, the authors introduce the concept of(p, q)-quasi-contraction mapping in a cone metric space. We prove the existence and uniqueness of a fixed point for a(p, q)-quasi-contraction mapping in a complete cone metric space. The results of this paper generalize and unify further fixed point theorems for quasi-contraction, convex contraction mappings and two-sided convex contraction of order 2.展开更多
文摘本文的第一个目的是推广 Sehgal,Bharuch-Reid 的压缩映象定理;第二个目的是讨论不动点的逼近问题,所得结果改进和统一了游兆永教授的相应定理。为了方便起见,我们先简述有关符号和术语。本文用 R 表实数集,R^+表非负实数集,D 表一切分布函数(即定义在 R 上不减的,左连续的,下确界为0,上确界为1的实值函数)的集合,而用 H 表示特征函数。
基金Foundation item： Supported by the Shanxi Gaoxiao Keji Kaifa Yanjiu（2007129） Supported by Boshi Ke yan Qidong Jijin of Shanxi University of Finance and Economics（2006） Supported by the Natural Science Foundation of Shanxi Province（2008011002-3）.Acknowledgment The authors wish to express thanks to referees for valuable suggestions.
文摘The main purpose of this paper is to study the surjectivity theorems for maximal monotone mapping in reflexive Banach spaces by using fixed point theory. We prove some new surjectivity theorems under some conditions and give its application in differential equation.
文摘In the present paper, by virtue of new approch techniques, we obtain several mapping theorems involving compact perturbations of m—accretive operators.These results improve and extend the corresponding those obtained by Kartsatos,Zhu, and Kartsatos and Mabry.
文摘In this work, the authors introduce the concept of(p, q)-quasi-contraction mapping in a cone metric space. We prove the existence and uniqueness of a fixed point for a(p, q)-quasi-contraction mapping in a complete cone metric space. The results of this paper generalize and unify further fixed point theorems for quasi-contraction, convex contraction mappings and two-sided convex contraction of order 2.
