Banach空间中多值Φ-增生和多值Φ-伪压缩映象的收敛定理  

Convergence Theorems for Multivalued Φ-Accretive andMultivalued Φ-pesudocontractive Operators in Banach Space

作　　者：谢芳[1] 

机构地区：[1]昆明师范高等专科学校数学系,昆明650031

出　　处：《大学数学》2004年第6期39-43,共5页College Mathematics

基　　金：云南省自然科学基金资助(2002A0058M)

摘　　要：在任意Banach空间中引入比重要的多值-强增生映象和多值-强伪压缩映象更一般的多值Φ-增生映象和多值Φ-伪压缩映象,研究多值Φ-增生映象方程的解和多值Φ-伪压缩映象不动点的具随机误差的Ishikawa迭代逼近问题.这些结论推广和改进了最新文献中相应的结果.The purpose of this paper is to introduce multi-valued Φ-accretive and multi valued Φ-pesudocontractive mappings which are much more general than the important multi-valued φ-strongly accretive operator and multi-valued φ-strongly pseudocontractive in arbitrary Banach space. We study Ishikawa iterative approximation problem of fixed points and solutions for multi-valued Φ-accretive and multi-valued Φ-pesudocontractive mappings in general Banach space. These conclusions extend and improve the corresponding results in resent papers.

关 键 词：多值φ-强增生映象 多值φ-强伪压缩映象 多值Φ-增生映象 多值Φ-伪压缩映象 具随机误差的Ishikawa迭代序列 

分 类 号：O177.91[理学—数学]