International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 3, Pages 613-616

Best approximation and fixed points in strong M-starshaped metric spaces

M. A. Al-Thagafi

Department of Mathematics, King Abdul Aziz University, P. O. Box 30608, Jeddah 21487, Saudi Arabia

Received 11 January 1994

Copyright © 1995 M. A. Al-Thagafi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We introduced strong M-starshaped metric spaces. For these spaces, we obtained two fixed-point theorems generalizing a result of W. G. Dotson, and two theorems extending and subsuming several known results on the existence of fixed points of best approximation.