U-FLATNESS AND NON-EXPANSIVE MAPPINGS IN BANACH SPACES
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In this paper, we define the modulus of $n$-dimensional $U$-flatness as the determinant of an $(n+1)\times(n+1)$ matrix. The properties of the modulus are investigated and the relationships between this modulus and other geometric parameters of Banach spaces are studied. Some results on fixed point theory for non-expansive mappings and normal structure in Banach spaces are obtained.
Abstract
In this paper, we define the modulus of $n$-dimensional $U$-flatness as the determinant of an $(n+1)\times(n+1)$ matrix. The properties of the modulus are investigated and the relationships between this modulus and other geometric parameters of Banach spaces are studied. Some results on fixed point theory for non-expansive mappings and normal structure in Banach spaces are obtained.
참고문헌 (12)
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