International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 4, Pages 231-235
doi:10.1155/S0161171200004191
A note on Kakutani type fixed point theorems
A.R. Khan1
, N. Hussain2
and L.A. Khan3
1Bahauddin Zakariya University, Multan 60800, Pakistan
2Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan 60800, Pakistan
3Department of Mathematics, King Abdul Aziz University, P.O. Box 9028, Jeddah 21413, Saudi Arabia
Abstract
We present Kakutani type fixed point theorems for certain semigroups of self maps by relaxing conditions on the underlying set, family of self maps, and the mappings themselves in a locally convex space setting.