한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)
- 제10권2호
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- Pages.133-144
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- 2003
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- 1226-0657(pISSN)
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- 2287-6081(eISSN)
COMMON FIXED POINT THEOREMS FOR WEAKLY COMPATIBLE MAPPINGS WITHOUT CONTINUITY IN MENGER SPACES
- Sharma, Sushil (Department Of Mathematics, Madhav Science College) ;
- Deshpande, Bhavana (Department Of Mathematics, Government Post Graduate Arts And Science College)
- 발행 : 2003.05.01
초록
The aim of this paper is to prove some common fixed point theorems for the class of compatible maps to larger class of weakly compatible maps without appeal to continuity in Monger spaces and we also give a set of alternative conditions in place of completeness of the space. We improve and extend the results of Dedeic & Sarapa ［A common fixed point theorem for three mappings on Monger spaces. Math. Japon. 34 (1989), no. 6,919-923］ and Rashwan & Hedar ［On common fixed point theorems of compatible mappings in Monger spaces. Demonstratio Math. 31 (1998), no. 3, 537-546］.