The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying 1281 – 1300 of 1323

Showing per page

Weak uniform normal structure and iterative fixed points of nonexpansive mappings

T. Domínguez Benavides, G. López Acedo, Hong Xu (1995)

Colloquium Mathematicae

This paper is concerned with weak uniform normal structure and iterative fixed points of nonexpansive mappings. Precisely, in Section 1, we show that the geometrical coefficient β(X) for a Banach space X recently introduced by Jimenez-Melado [8] is exactly the weakly convergent sequence coefficient WCS(X) introduced by Bynum [1] in 1980. We then show in Section 2 that all kinds of James' quasi-reflexive spaces have weak uniform normal structure. Finally, in Section 3, we show that in a space X with...

Weak uniform normal structure in direct sum spaces

Tomás Domínguez Benavides (1992)

Studia Mathematica

The weak normal structure coefficient WCS(X) is computed or bounded when X is a finite or infinite direct sum of reflexive Banach spaces with a monotone norm.

Weakly Picard mappings

Ioan A. Rus (1993)

Commentationes Mathematicae Universitatis Carolinae

In this paper we generalize the well known converse to the contraction principle due to C. Bessaga, dropping the uniqueness of the fixed point from its hypotheses. Some properties of weakly Picard mappings are given.

Currently displaying 1281 – 1300 of 1323