Strong convergence theorems of common fixed points for a pair of quasi-nonexpansive and asymptotically quasi-nonexpansive mappings

Authors

  • Gurucharan Singh Saluja Department of Mathematics $&$ Information Technology, Govt. Nagarjun P.G. College of Science, Raipur (C.G.), India Author

Keywords:

Quasi-nonexpansive mappings, asymptotically quasi nonexpansive mapping, common fixed points, modified three-step iteration scheme with errors with respect to a pair of mappings, strong convergence, Banach space

Subjects:

47H09, 47H10

Abstract

The purpose of this paper is to give necessary andsufficient condition of modified three-step iteration scheme witherrors to converge to common fixed points for a pair ofquasi-nonexpansive and asymptotically quasi-nonexpansive mappingsin Banach spaces. The results presented in this paper generalize,improve and unify the corresponding results in several papers.

Downloads

Published

2010-04-15

Issue

Vol. 62 No. 2 (2010): Vol. 62, Issue 2

Section

Articles

License

Copyright (c) 2010 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.