Abstract and Applied Analysis 
Volume 3 (1998), Issue 1-2, Pages 133-151
doi:10.1155/S1085337598000475

Uniform asymptotic normal structure, the uniform semi-Opial property and fixed points of asymptotically regular uniformly lipschitzian semigroups. Part I

Monika Budzyńska,1 Tadeusz Kuczumow,1 and Simeon Reich2

 1Instytut Matematyki UMCS, Lublin 20-031, Poland
2Department of Mathematics, The Technion-IsraelInstitute of Technology, Haifa 32000, Israel
Received 15 September 1997

Abstract

In this paper we introduce the uniform asymptotic normal structure and the uniform semi-Opial properties of Banach spaces. This part is devoted to a study of the spaces with these properties. We also compare them with those spaces which have uniform normal structure and with spaces with WCS(X)>1.