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An Ishikawa type iteration scheme in complete metric spaces

 

作者: Tae Hwa Kim,   Eun Suk Kim,  

 

期刊: Numerical Functional Analysis and Optimization  （Taylor Available online 1998）
卷期: Volume 19, issue 5-6  

页码: 557-563

 

ISSN:0163-0563

 

年代: 1998

 

DOI:10.1080/01630569808816845

 

出版商: Marcel Dekker, Inc.

 

关键词: Ishikawa-type Iteration Scheme;generalized contraction;common fixed point;1991 AMS Subject Classification. 471109;1901 AMS Subject Classification. 471110

 

数据来源: Taylor

 

摘要:

In this paper we show the strong convergence of an Ishikawa type iteration for a pair of nonlinear contractive type mappings S,T in a complete metric space. If S = T, this reduces to the result due to Rhoades [5] in a Banach space setting. Further, we give an easy application on a complete metric space which is convex in the sense of Takahashi [6], which generalizes the results due to Mishra and Kalinde [4] and Ding [2].

 

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