Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (9): 1001-1008.

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CONVERGENCE OF ISHIKAWA TYPE ITERATIVE SEQUENCE WITH ERRORS FOR QUASI-CONTRACTIVE MAPPINGS IN CONVEX METRIC SPACES

TIAN You-xian1, ZHANG Shi-sheng2   

  1. 1. Institute of Computer Science & Technology, Chongqing Universityof Posts and Telecommunications, Chongqing 400065, P.R.China;
    2. Department of Mathematics, Sichuan University, Chengdu 610064, P.R.China
  • Received:2001-04-03 Revised:2002-01-28 Online:2002-09-18 Published:2002-09-18
  • Supported by:

    Foundation items:the National Ntural Science Foundation of China(19771058);the Natural Science Foundation of Education Department of Sichuan Province(01LA70)

Abstract: Some convergence theorems of Ishikawa type iterative sequence with errors for nonlinear general quasi-contractive mapping in convex metric spaces are proved. The results not only extend and improve the corresponding results of L. B. Ciric, Q. H. Liu, H. E. Rhoades and H. K. Xu, et al., but also give an affirmative answer to the open question of Rhoades-Naimpally-Singh in convex metric spaces.

2010 MSC Number: 

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