International Journal of Mathematics and Mathematical Sciences
Volume 28 (2001), Issue 1, Pages 41-50
Fixed point theorems for generalized Lipschitzian semigroups
1Department of Mathematics, Dong-A University, Pusan 607-714, Korea
2Govt. B. H. S. S. Gariaband, Dist. Raipur 493889, (M. P.), India
Received 10 March 2000
Copyright © 2001 Jong Soo Jung and Balwant Singh Thakur. 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.
Let be a nonempty subset of a -uniformly convex Banach space , a left reversible semitopological semigroup, and a generalized Lipschitzian
semigroup of into itself, that is, for , , for where such that there exists a such that for all . It is proved that if there exists a closed subset of such that for all , then with has a common fixed point, where and .