Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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AN APPLICATION OF ZBAG\v{A}NU CONSTANT IN FIXED POINT THEORY

ZHANFEI ZUO

pp. 71-77

Abstract

Some sufficient conditions for Banach spaces have normal struc- ture were gotten in terms of Zbag\v{a}nu constant, the weak orthogonality coeffi- cient and the weakly convergent sequence coefficient, which imply the existence of fixed points for single valued and multivalued nonexpansive mappings.