任意Banach空间Φ-强伪压缩映射不动点的Ishikawa迭代逼近  

Ishikawa Iterative Approximation for Fixed Point of Φ-Strongly Pseudocontractive Mappings Arbitrary Banach Spaces

作　　者：汪志明[1] 

机构地区：[1]唐山学院基础部,河北唐山063000

出　　处：《数学的实践与认识》2007年第4期129-132,共4页Mathematics in Practice and Theory

摘　　要：文章借助于对偶映射的定义,给出了任意Banach空间中LipschitzΦ-强伪压缩映射不动点的Ishikawa迭代收敛定理的简化证明,并且推广了目前相应的已知结果.By virtue of definition of duality mapping, we give a brief proof for Ishikawa iterative approximation for fixed point of Ф-strongly pseudocontractive mappings in arbitrary Banach spaces, and extend the recent corresponding known results.

关 键 词：LipschitzФ-强伪压缩映射 ISHIKAWA迭代 不动点 一致光滑BANACH空间 

分 类 号：O177.91[理学—数学]