COMMON FIXED POINT THEOREMS FOR FINITE NUMBER OF MAPPINGS WITHOUT CONTINUITY AND COMPATIBILITY IN MENGER SPACES
COMMON FIXED POINT THEOREMS FOR FINITE NUMBER OF MAPPINGS WITHOUT CONTINUITY AND COMPATIBILITY IN MENGER SPACES
한국수학교육학회지시리즈B:순수및응용수학 / 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
(DEPARTMENT OF MATHEMATICS, MADHAV SCIENCE COLLEGE)
Deshpande, Bhavana
(DEPARTMENT OF MATHEMATICS, GOVT. ARTS AND SCIENCE P.G. COLLEGE)
Tiwari, Rashmi
(GOVT NARMADA P.G. COLLEGE)
Sharma, Sushil,
Deshpande, Bhavana,
&
Tiwari, Rashmi.
(2008). COMMON FIXED POINT THEOREMS FOR FINITE NUMBER OF MAPPINGS WITHOUT CONTINUITY AND COMPATIBILITY IN MENGER SPACES. 한국수학교육학회지시리즈B:순수및응용수학, 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
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Menger space,
weakly compatible maps,
common fixed point