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학술저널

NORMALIZED DUALITY MAPPING AND GENERALIZED BEST APPROXIMATIONS

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In this paper, we introduce certain concepts which pro-vide us with a perspective and insight into the generalization of orthogonality with the normalized duality mapping. The material of this paper will be mainly, but not only, used in developing algo-rithms for the best approximation problem in a Banach space.

1. Introduction

2. J-orthogonality

3. Characterization of The Generalized Best Approxima-tions

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