COMMON FIXED POINT THEOREMS FOR FINITE NUMBER OF MAPPINGS WITHOUT CONTINUITY AND COMPATIBILITY IN MENGER SPACES
Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2008, v.15 no.2, pp.135-151
Sharma, Sushil
Deshpande, Bhavana
Tiwari, Rashmi
Sharma,,
S.
, Deshpande,,
B.
, &
Tiwari,,
R.
(2008). COMMON FIXED POINT THEOREMS FOR FINITE NUMBER OF MAPPINGS WITHOUT CONTINUITY AND COMPATIBILITY IN MENGER SPACES. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 15(2), 135-151.
Abstract
The purpose of this paper is to prove some common fixed point theorems for finite number of discontinuous, noncompatible mappings on non complete Menger spaces. Our results extend, improve and generalize several known results in Menger spaces. We give formulas for total number of commutativity conditions for finite number of mappings.
- keywords
-
Menger space,
weakly compatible maps,
common fixed point