Geodesic
Fixed Point Theorems for Multi-Valued Mappings
Canadian mathematical bulletin, Tome 23 (1980) no. 2, pp. 193-197

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
Hu, Thakyin. Fixed Point Theorems for Multi-Valued Mappings. Canadian mathematical bulletin, Tome 23 (1980) no. 2, pp. 193-197. doi: 10.4153/CMB-1980-026-2
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[1] 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] 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] 3. Edelstein, M., An extension of Banach's Contraction Principle, Proc. Amer. Math. Soc, 12 (1961), 7-10. Google Scholar

[4] 4. Kelly, J. L., General Topology, D. Van Nostrand Co., Inc., Princeton, New Jersey, 1959. Google Scholar

[5] 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] 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] 7. Nadler, S. B. Jr., Multi-valued contraction mappings, Pacific J. Math., 30 (1969), 475-488. Google Scholar

[8] 8. Reich, S., Fixed points of contractive functions, Boll. Un. Mat. Ital. (4), 5 (1972), 26-42. Google Scholar

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