Convergence of an Ishikawa iteration scheme for nonlinear quasi-contractive mappings in convex metric spaces

Authors

  • K. P. R. Sastry
  • G. V. R. Babu
  • Ch. Srinivasa Rao

DOI:

https://doi.org/10.5556/j.tkjm.32.2001.353

Abstract

In this paper, we show that the Ishikawa iteration scheme for a nonlinear quasicontractive selfmap of a nonempty closed convex subset of a complete convex metric space, converges to the unique fixed point. Our theorem generalizes Ciric's result (1999) and partially solves an open problem of Ciric [5].

Author Biographies

K. P. R. Sastry

Department of Mathematics, Andhra University, Visakhapatnam 530 003, India.

G. V. R. Babu

Department of Mathematics, Andhra University, Visakhapatnam 530 003, India.

Ch. Srinivasa Rao

Department of Mathematics, Mrs. A. V. N. College, Visakhapatnam 530 001, India.

Published

2001-06-30

How to Cite

Sastry, K. P. R., Babu, G. V. R., & Rao, C. S. (2001). Convergence of an Ishikawa iteration scheme for nonlinear quasi-contractive mappings in convex metric spaces. Tamkang Journal of Mathematics, 32(2), 117-126. https://doi.org/10.5556/j.tkjm.32.2001.353

Issue

Section

Papers