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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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