• Title/Summary/Keyword: triangle norm (t-norm)

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FIXED POINTS OF OCCASIONALLY WEAKLY COMPATIBLE MAPPINGS USING IMPLICIT RELATION

  • Pant, Badri Datt;Chauhan, Sunny
    • Communications of the Korean Mathematical Society
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    • v.27 no.3
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    • pp.513-522
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    • 2012
  • In this paper, we prove common fixed point theorems for families of occasionally weakly compatible mappings in Menger spaces using implicit relation. Our results extend and generalize the results of Altun and Turkoglu [9] in the sense that the concept of occasionally weakly compatible maps is the most general among all the commutativity concepts. Also the completeness of the whole space, continuity of the involved maps and containment of ranges amongst involved maps are completely relaxed.

FIXED POINT THEOREMS IN MENGER SPACES AND APPLICATIONS TO METRIC SPACES

  • Chauhan, Sunny;Kumar, Suneel
    • Journal of applied mathematics & informatics
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    • v.30 no.5_6
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    • pp.729-740
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    • 2012
  • In this paper, we prove common fixed point theorems for occasionally weakly compatible maps in Menger spaces with a continuous t-norm of H-type. As application to our results, we obtain the corresponding fixed point theorems in metric spaces. Our results improve and generalize many known results in Menger spaces as well as in metric spaces.