Document Type
Article
Publication Date
1996
DOI
10.1090/s0002-9939-96-03659-3
Publication Title
Proceedings of the American Mathematical Society
Volume
124
Issue
10
Pages
3159-3162
Abstract
Simeon Reich (1974) proved that the fixed point theorem for single-valued mappings proved by Boyd and Wong can be generalized to multivalued mappings which map points into compact sets. He then asked (1983) whether his theorem can be extended to multivalued mappings whose range consists of bounded closed sets. In this note, we provide an affirmative answer for a certain subclass of Boyd-Wong contractive mappings.
Original Publication Citation
Daffer, P. Z., Kaneko, H., & Li, W. (1996). On a conjecture of S. Reich. Proceedings of the American Mathematical Society, 124(10), 3159-3162. doi:10.1090/s0002-9939-96-03659-3
Repository Citation
Daffer, Peter Z.; Kaneko, Hideaki; and Li, Wu, "On a Conjecture of S. Reich" (1996). Mathematics & Statistics Faculty Publications. 145.
https://digitalcommons.odu.edu/mathstat_fac_pubs/145
Comments
Web of Science: "Free full-text from publisher."