Vol. 99, No. 1, 1982

Recent Issues
Vol. 307: 1  2
Vol. 306: 1  2
Vol. 305: 1  2
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Vol. 301: 1  2
Vol. 300: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Editorial Board
Subscriptions
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Author Index
To Appear
 
Other MSP Journals
Altman’s contractors and fixed points of multivalued mappings

K. Balakrishna Reddy and P. V. Subrahmanyam

Vol. 99 (1982), No. 1, 127–136
Abstract

Let Pi : D X1 ××Xn CL(Y i) be multivalued mappings where Xi, Y i are Banach spaces and CL(Y i) is the set of all nonempty closed subsets of Y i, i = 1,,n. We prove a theorem ensuring that 𝜃i Pi(x1,,xn) for some (x1,,xn) D and deduce the fixed point theorems for multivalued mappings proved earlier by Czerwik, Nadler and Reich as corollaries. Besides, generalizations for multivalued mappings of the existence theorems proved by Altman using his theory of contractors are also obtained.

Mathematical Subject Classification 2000
Primary: 47H10
Secondary: 54H25, 58C15
Milestones
Received: 3 September 1980
Published: 1 March 1982
Authors
K. Balakrishna Reddy
P. V. Subrahmanyam