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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

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: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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)

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

한국수학교육학회지시리즈B:순수및응용수학