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Vietnam Journal of Mathematics 36:3(2008) 281-289
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Invariant Approximations for Subcompatible Mappings
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Hemant Kumar Nashine
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Abstract.
Common fixed point results for generalized
$\mathcal{I}$-nonexpansive subcompatible maps have been obtained
in the present work. Some useful invariant approximation results
have also been determined by its application. These results extend
and generalize various existing known results with the aid of more
general class of noncommuting mappings.
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2000 Mathematics Subject Classification: 41A50, 47H10, 54H25.
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Keywords: Best approximation, weakly compatible maps, subcompatible maps.
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