International Journal of Mathematics and Mathematical Sciences
Volume 21 (1998), Issue 2, Pages 277-288
doi:10.1155/S0161171298000398
Fixed points for non-surjective expansion mappings
B.K. Sharma1
, D.R. Sahu1
, M. Bounias3
and A. Bonaly4
1School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur 492 010, India
3University of Avignon and INRA, Biomathematics Unit, Faculty of Sciences, Avignon F- 84 000, France
4Mathematics, University of Paris X, France
Abstract
The contractive conditions of Popa (Demonstr. Math. 1990, 23, 213-218) were further improved for four non-surjective expansion mappings, and some common fixed point theorems under semi-compatible pairs of mappings are proved. Our main findings bring improvements to a number of results in the non-metric setting. Some implications for mathematical physics are raised with respect to physical invariants