| Title:
|
Common fixed points for nonexpansive and asymptotically nonexpansive mappings (English) |
| Author:
|
Naimpally, S. A. |
| 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:
|
24 |
| Issue:
|
2 |
| Year:
|
1983 |
| Pages:
|
287-300 |
| . |
| Category:
|
math |
| . |
| MSC:
|
47H09 |
| MSC:
|
47H10 |
| MSC:
|
52H25 |
| MSC:
|
54H25 |
| idZBL:
|
Zbl 0519.54031 |
| idMR:
|
MR711266 |
| . |
| Date available:
|
2008-06-05T21:14:59Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106227 |
| . |
| Reference:
|
[1] I. A. Bahtin: The existence of common flxed points for commutative sets of nonlinear operators.Functional Anal. Appl. 4 (1970), 76-77. MR 0267431 |
| Reference:
|
[2] R. DeMarr: Common fixed points for commuting contraction mappings.Pac. J. Math. 13 (1963), 1139-1141. Zbl 0191.14901, MR 0159229 |
| Reference:
|
[3] K. Goebel W. A. Kirk: A fixed point theorem for asymptotically nonexpansive mappings.Proc. Amer. Math. Soc. 35 (1972), 171-174. MR 0298500 |
| Reference:
|
[4] K. Goebel W. A. Kirk R. L. Thele: Uniformly Lipschitzian families of transformations in Banach spaces.Canad. J. Math. 26 (1974), 1245-1256. MR 0358453 |
| Reference:
|
[5] T. Hu: A common fixed point theorem for nonlinear operators in a Banach space.Tamkang J. Math. 8 (1977), 239-243. MR 0636943 |
| Reference:
|
[6] W. A. Kirk: Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type.Israel J. Math. 17 (1974), 339-346. Zbl 0286.47034, MR 0346605 |
| Reference:
|
[7] K. Kuratowskii: Topology Volume I.Academic Press, New York (1966). MR 0217751 |
| Reference:
|
[8] H. V. Machado: A characterisation of convex subsets of normed spaces.Kodai Math. Sem. Rep. 25 (1973), 307-320. MR 0326359 |
| Reference:
|
[9] S. A. Naimpally K. L. Singh: Fixed and common fixed points in convex metric space.preprint. |
| Reference:
|
[10] R. D. Nussbaum: The fixed point index and fixed point theorems for k-set contractions.Ph.D. Dissertation, University of Chicago (1969). MR 2611623 |
| Reference:
|
[11] W. V. Petryshyn: Structure of fixed point sets of k-set contractions.Arch. Rational. Mech. Anal. 40 (1970/71), 312-328. MR 0273480 |
| Reference:
|
[12] B. N. Sadovskii: Limit compact and condensing operators.Russian Math. Surveys 27 (1972), 85-156. MR 0428132 |
| Reference:
|
[13] B. N. Sadovskii: A fixed point principle.Ғunctional Anal. Appl. 1 (1967), 151-153. MR 0211302 |
| Reference:
|
[14] W. Takahashi: A convexity in metric space and nonexpansive mappings, I.Kodai Math. Sem. Rep. 22 (1970), 142-149. Zbl 0268.54048, MR 0267565 |
| Reference:
|
[15] L. A. Tallman: Fixed points for condensing multifunctions in metric spaces with convex structures.Kodai Math. Sem. Rep. 29 (1977), 62-70. MR 0463985 |
| . |
