| Title: | Fixed points for generalized nonexpansive mappings (English) | 
| Author: | Rhoades, Billy E. | 
| Author: | Singh, K. L. | 
| Author: | Whitfield, J. H. M. | 
| Language: | English | 
| Journal: | Commentationes Mathematicae Universitatis Carolinae | 
| ISSN: | 0010-2628 (print) | 
| ISSN: | 1213-7243 (online) | 
| Volume: | 23 | 
| Issue: | 3 | 
| Year: | 1982 | 
| Pages: | 443-451 | 
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| Category: | math | 
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| MSC: | 47H09 | 
| MSC: | 47H10 | 
| MSC: | 52A01 | 
| MSC: | 52H25 | 
| MSC: | 54H25 | 
| idZBL: | Zbl 0517.47034 | 
| idMR: | MR677853 | 
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| Date available: | 2008-06-05T21:12:12Z | 
| Last updated: | 2012-04-28 | 
| Stable URL: | http://hdl.handle.net/10338.dmlcz/106166 | 
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| Reference: | [1] Dale ALSPACH: A fixed point free nonexpansive map.Proc. Amer. Math.  Soc. 82 (1981), 423-424. MR 0612733 | 
| Reference: | [2] L. B. CIRIC: A generalization of Banach's contraction principle.Proc.  Amer. Math. Soc. 45 (1974), 267-273. Zbl 0291.54056, MR 0356011 | 
| Reference: | [3] W. G. DOTSON, Jr.: Fixed point theorems for non-expansive mappings in star-shaped subsets of Banach spaces.J. London Math. Soc. 4 (1972), 408-410. MR 0296778 | 
| Reference: | [4] M. EDELSTEIN: An extension of Banach's contraction principle.Proc. Amer. Math. Soc. 12 (1961), 7-10. Zbl 0096.17101, MR 0120625 | 
| Reference: | [5] S. ITOH: Some fixed point theorems in metric spaces.Fundamenta Mathematicae 102 (1979), 109-117. Zbl 0412.54054, MR 0525934 | 
| Reference: | [6] M. A. KRASNOSEL'SKII G. M. VAINIKKO, al.: Approximate solutions of operator equations.Wolters-Noordhoff publishing, Groningen 1972. MR 0385655 | 
| Reference: | [7] H. V. MACHODO: A characterization of convex subsets of normed spaces.Kodai Math. Sem. Rep. 25 (1973), 307-320. MR 0326359 | 
| Reference: | [8] S. A. NAIMPALLY K. L. SINGH: Fixed and common fixed points in convex metric spaces.preprint. | 
| Reference: | [9] S. A. NAIMPALLY K. L. SINGH J. H. M. WHITFIELD: Fixed points in convex metric spaces.preprint. MR 0759448 | 
| Reference: | [10] B. E. RHOADES: Some fixed point theorems for generalized nonexpansive mappings.preprint. Zbl 0497.47031, MR 1048011 | 
| Reference: | [11] Robert SINE: Remarks on the example of Alspach.preprint. | 
| Reference: | [12] L. A. TALMAN: Fixed points for condensing multifunctions in metric spaces with convex structure.Kodai Math. Sem. Rep. 29 (1977), 62-70. Zbl 0423.54039, MR 0463985 | 
| Reference: | [13] W. TAKAHASHI: A convexity in metric spaces and nonexpansive mappings I.Kodai Math. Sem. Rep. 22 (1970), 142-149. MR 0267565 | 
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