| Title:
|
Fixed points of asymptotically regular mappings (English) |
| Author:
|
Górnicki, Jarosław |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
43 |
| Issue:
|
3 |
| Year:
|
1993 |
| Pages:
|
327-336 |
| . |
| Category:
|
math |
| . |
| MSC:
|
46E30 |
| MSC:
|
46E35 |
| MSC:
|
47H10 |
| MSC:
|
54H25 |
| idZBL:
|
Zbl 0806.47049 |
| idMR:
|
MR1241369 |
| . |
| Date available:
|
2009-09-25T10:48:55Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129587 |
| . |
| Reference:
|
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| Reference:
|
[2] BYNUM W. L.: Normal structure coefficients for Banach spaces.Pacific J. Math. 86 (1980), 427-436. Zbl 0442.46018, MR 0590555 |
| Reference:
|
[3] CASINI E., MALUTA E.: Fixed points of uniformly Lipschitzian mappings in spaces with uniformly normal structure.Nonlinear Anal. 9 (1985), 103-108. Zbl 0526.47034, MR 0776365 |
| Reference:
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[4] DANEŠ J.: On densifying and related mappings and their applications in nonlinear functional analysis.In: Theory of Nonlinear Operators. Proc. Summer School, October 1972, GDR, Akademie-Verlag, Berlin, 1974, pp. 15-56. MR 0361946 |
| Reference:
|
[5] GOEBEL K., KIRK W. A.: Topics in Metric Fixed Point Theory.Cambridge Stud. Adv. Math. 28, Cambridge University Press, London, 1990. Zbl 0708.47031, MR 1074005 |
| Reference:
|
[6] GÓRNICKI J.: Fixed point theorems for asymptotically regular mappings in Lp spaces.Nonlinear Anal. 17 (1991), 153-159. MR 1118074 |
| Reference:
|
[7] KRÜPPEL M.: Ein Fixpunktsatz für asymptotisch reguläre Operatoren im Hilbert-Raum.Wiss. Z. Pädagog. Hochsch. "Liselotte Herrmann" Güstrow Math.-Natur. Fak. 27 (1989), 247-251. Zbl 0721.47040, MR 1086619 |
| Reference:
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| Reference:
|
[9] LIM T. C., XU H. K., XU Z. B.: An Lp inequality and its applications to fixed point theory and approximation theory.In: Progress in Approximation Theory, Academic Press, 1991, pp. 609-624. |
| Reference:
|
[10] LIN P. K.: A uniformly asymptotically regular mapping without fixed points.Canad. Math. Bull. 30 (1987), 481-483. Zbl 0645.47050, MR 0919440 |
| Reference:
|
[11] PICHUGOV S. A.: Jung's constant of the space Lp.(Russian), Mat. Zametki 43 (1988), 604-614. (Translation: Math. Notes 43 (1988), 348-354). MR 0954343 |
| Reference:
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[12] PRUS B., SMARZEWSKI R.: Strongly unique best approximations and centers in uniformly convex spaces.J. Math. Anal. Appl. 121 (1987), 10-21. Zbl 0617.41046, MR 0869515 |
| Reference:
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[13] PRUS S.: On Bynum's fixed point theorem.Atti Sem. Mat. Fis. Univ. Modena 38 (1990), 535-545. Zbl 0724.46020, MR 1076471 |
| Reference:
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[14] PRUS S.: Some estimates for the normal structure coefficient in Banach spaces.Rend. Circ. Mat. Palermo (2) XL (1991), 128-135. Zbl 0757.46029, MR 1119750 |
| Reference:
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[15] SMARZEWSKI R.: Strongly unique minimization of junctionals in Banach spaces with applications to theory of approximation and fixed points.J. Math. Anal. Appl. 115 (1986), 155-172. MR 0835591 |
| Reference:
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[16] SMARZEWSKI R.: Strongly unique best approximation in Banach spaces II.J. Approx. Theory 51 (1987), 202-217. Zbl 0657.41022, MR 0913618 |
| Reference:
|
[17] SMARZEWSKI R.: Classical and Extended Strong Unicity of Approximation in Banach Spaces.(Polish), Mariae Curie-Sklodowska University, Lublin, 1986. |
| Reference:
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[18] SMARZEWSKI R.: On the inequality of Bynum and Drew.J. Math. Anal. Appl. 150 (1990), 146-150. MR 1059576 |
| Reference:
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[19] XU H. K.: Inequalities in Banach spaces with applications.Nonlinear Anal. 16 (1991), 1127-1138. Zbl 0757.46033, MR 1111623 |
| Reference:
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[20] ZALINESCU C.: On uniformly convex function.J. Math. Anal. Appl. 95 (1983), 344-374. MR 0716088 |
| . |
