AN APPLICATION OF A FIXED-POINT THEOREM TO BEST APPROXIMATION FOR GENERALIZED AFFINE MAPPING

Hemant Kumar Nashine · Mathematical Proceedings of the Royal Irish Academy · 2007

The aim of the present paper is to obtain a fixed-point theorem for generalized affine mapping, and a class of relatively nonexpansive commutative mappings that is used to find the best approximation result. In the process, related results due to Jungck and Sessa, and many others, are generalized and improved.

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