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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.10 No.2

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COMMON FIXED POINT THEOREMS FORWEAKLY COMPATIBLE MAPPINGSWITHOUT CONTINUITY 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
2003, v.10 no.2, pp.133-144
Sharma, Sushil
Deshpande, Bhavana
Sharma,, S. , & Deshpande,, B. (2003). COMMON FIXED POINT THEOREMS FORWEAKLY COMPATIBLE MAPPINGSWITHOUT CONTINUITY IN MENGER SPACES. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 10(2), 133-144.

Abstract

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］.

keywords
Menger space, weakly compatible mappings, common fixed point

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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