International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 3, Pages 613-616
doi:10.1155/S0161171295000779
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
Abstract
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.