Multi-valued contraction mappings

Sam Bernard Nadler, Jr.

Vol. 30 (1969), No. 2, 475–488

DOI: 10.2140/pjm.1969.30.475

Abstract

Some fixed point theorems for multi-valued contraction mappings are proved, as well as a theorem on the behaviour of fixed points as the mappings vary.

Mathematical Subject Classification

Primary: 54.85

Milestones

Received: 3 June 1968

Published: 1 August 1969