Fixed Point Theory for Weakly Contractive Maps with Applications to Operator Inclusions in Banach Spaces Relative to the Weak Topology

  • Donal O'Regan

    National University of Ireland, Galway, Ireland

Abstract

A variety of fixed point results is presented for weakly contractive multi-valued maps. Our theory will then be applied to establish general existence principles for operator inclusions in Banach spaces relative to the weak topology.

Cite this article

Donal O'Regan, Fixed Point Theory for Weakly Contractive Maps with Applications to Operator Inclusions in Banach Spaces Relative to the Weak Topology. Z. Anal. Anwend. 17 (1998), no. 2, pp. 281–296

DOI 10.4171/ZAA/822