• Title/Summary/Keyword: Common point

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COMMON FIXED POINT FOR WEAK COMPATIBLE MAPPINGS OF TYPE ($\alpha$) IN MENGER SPACES

  • Sharma, Sushil;Singh, Amardeep
    • East Asian mathematical journal
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    • v.23 no.1
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    • pp.123-133
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    • 2007
  • In this paper we prove common fixed point theorem for four mappings, under the condition of compatible mappings of type ($\alpha$) in Menger space, without taking any function continuous. We improve results of Pathak, Kang and Baek [13] and Cho, Murthy and Stojakovic [37].

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COMMON FIXED POINT IN FUZZY METRIC SPACES

  • SHARMA SUSHIL;TIWARI JAYESH K.
    • The Pure and Applied Mathematics
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    • v.12 no.1
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    • pp.17-31
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    • 2005
  • In this paper we prove common fixed point theorems for three mappings under the condition of weak compatible mappings, without taking any function continuous in fuzzy metric space and then extend this result to fuzzy 2-metric space and fuzzy 3-metric space.

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COMMON FIXED POINTS WITHOUT CONTINUITY IN FUZZY METRIC SPACES

  • SHARMA SUSHIL;DESHPANDE BHAVANA
    • The Pure and Applied Mathematics
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    • v.12 no.4 s.30
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    • pp.289-306
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    • 2005
  • The aim of this paper is to prove some common fixed point theorems for six discontinuous mappings in non complete fussy metric spaces with condition of weak compatibility.

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Notes on common fixed point theorems in metric spaces

  • Kim, Kee-Hwan;Leem, Koung-Hee
    • Communications of the Korean Mathematical Society
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    • v.11 no.1
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    • pp.109-115
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    • 1996
  • A number of authors have generalized contraction mapping theorems in metric spaces. In this paper, we give some common fixed point theorems related with the diameter of the orbit on metric spaces. We generalize the results of M. Ohta and G. Nikaido [6], also Taskovic [8].

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COMMON FIXED POINT THEOREMS FOR WEAKLY COMPATIBLE MAPPINGS WITHOUT CONTINUITY IN MENGER SPACES

  • Sharma, Sushil;Deshpande, Bhavana
    • The Pure and Applied Mathematics
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    • v.10 no.2
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    • pp.133-144
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    • 2003
  • 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].

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