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Vietnam
Journal of Mathematics 39:2 (2011) 237-249
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Well-posedness of Common Fixed Point Theorems for
Three
and Four Mappings Under Strict Contractive
Conditions
in Fuzzy Metric Spaces
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Sumit Mohinta and Tapas Kumar Samanta
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Department of Mathematics, Uluberia College,
India-711315
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Abstract. None has studied the well-posedness of
common fixed points in fuzzy metric spaces. In this paper, our target
is to develop the well-posedness of common fixed points in fuzzy
metric spaces. Also using weakly compatibility, implicit relation, property
(E.A.) and strict contractive conditions, we have established the unique
common fixed point for three self mappings and also for four self
mappings in fuzzy metric spaces.
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2000 Mathematics Subject Classification: 03E72, 47H10,
54H25.
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Keywords: Fuzzy Metric
Space, Fixed Point, Common Fixed Point, Weakly Compatible Mappings,
Implicit Relation, Property (E.A.), Well-Posedness.
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Email: mumputapas5@gmail.com [Corresponding Author]
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