Hostname: page-component-7b7567c8c-kwt9d Total loading time: 0 Render date: 2026-11-14T00:46:00.228Z Has data issue: false hasContentIssue false
  • English
  • Français

Fixed Point Theorems for Multi-Valued Mappings

Published online by Cambridge University Press:  20 November 2018

Thakyin Hu
Thakyin Hu*
Affiliation:
Department of Mathematics Tamkang College of Arts and Sciences Tamsui, Taipei Hsien Taiwan 251 Republic of China
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

Two fixed point theorems for multi-valued mappings in a complete, ε-chainable metric space are proved. The theorems, thus established, extend result of M. Edelstein, Peter K. F. Kuhfittig, Hwei-mei Ko and Yueh-hsia Tsai, S. B. Nadler, Jr. and S. Reich.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 23 , Issue 2 , 01 June 1980, pp. 193 - 197
Copyright
Copyright © Canadian Mathematical Society 1980

References

1. Assad, N. A. and Kirk, W. A., Fixed point theorems for set-valued mappings of contractive type, Pacific J. Math., 43 (1972), 553-562.Google Scholar
2. Covitz, H. and Nadler, S. B. Jr., Multi-valued contraction mappings in generalized metric spaces, Israel J. Math., 8 (1970), 5-11.Google Scholar
3. Edelstein, M., An extension of Banach's Contraction Principle, Proc. Amer. Math. Soc, 12 (1961), 7-10.Google Scholar
4. Kelly, J. L., General Topology, D. Van Nostrand Co., Inc., Princeton, New Jersey, 1959.Google Scholar
5. Ko, Hwei-mei and Tsai, Yueh-Hsia, Fixed point theorems with localized property, Tamkang J. Math., Vol. 8, No. 1 (1977), 81-85.Google Scholar
6. Kuhfittig, Peter K., Fixed points of locally contractive and non-expansive set-valued mappings, Pacific J. Math., Vol. 65, No. 2 (1976), 399-403.Google Scholar
7. Nadler, S. B. Jr., Multi-valued contraction mappings, Pacific J. Math., 30 (1969), 475-488.Google Scholar
8. Reich, S., Fixed points of contractive functions, Boll. Un. Mat. Ital. (4), 5 (1972), 26-42.Google Scholar