Convergence of Ishikawa Type Iterative Sequence With Errors for Quasi-Contractive Mappings in Convex Metric Spaces

TIAN You-xan; ZHANG Shi-sheng

Volume 23 Issue 9

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Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(9): 889-895

TIAN You-xan, ZHANG Shi-sheng. Convergence of Ishikawa Type Iterative Sequence With Errors for Quasi-Contractive Mappings in Convex Metric Spaces[J]. Applied Mathematics and Mechanics, 2002, 23(9): 889-895.

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Convergence of Ishikawa Type Iterative Sequence With Errors for Quasi-Contractive Mappings in Convex Metric Spaces

TIAN You-xan¹,
ZHANG Shi-sheng²

1.
Institute of Computer Science & Technology, Chongqing University of Posts and Telecommunications, Chongqing 400065, P. R. China;
2.
Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China

Received Date: 2001-04-03
Rev Recd Date: 2002-01-28
Publish Date: 2002-09-15

Abstract

Abstract

Some convergence theorems of Ishikawa type iterative sequence with errors for nonline ar general quasi-contractive mapping in convex metric spaces are proved. The results not only extend and improve the corre sponding results of L. B. Ciric, Q. H. Liu, H. E. Rho ades and H. K. Xu, at el but also give an affirmative answer to the open question of Rhoades-Naimpally-Singh in convex metric spaces.
- convex metric space,
- fixed point,
- gener alized Ishikawa (Mann) iterative sequence with errors,
- general qua sicontr active mapping

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References

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