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Vietnam Journal of Mathematics 36:3(2008) 281-289

 Invariant Approximations for Subcompatible Mappings

Hemant Kumar Nashine

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.

 

2000 Mathematics Subject Classification: 41A50, 47H10, 54H25.

Keywords: Best approximation, weakly compatible maps, subcompatible maps.

 
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