Fixed points of asymptotically regular mappings
Mathematica Slovaca (1993)
- Volume: 43, Issue: 3, page 327-336
- ISSN: 0139-9918
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topGórnicki, Jarosław. "Fixed points of asymptotically regular mappings." Mathematica Slovaca 43.3 (1993): 327-336. <http://eudml.org/doc/31860>.
@article{Górnicki1993,
author = {Górnicki, Jarosław},
journal = {Mathematica Slovaca},
keywords = {fixed point theorems of asymptotically regular mappings in Lebesgue spaces; Hardy spaces; Sobolev spaces},
language = {eng},
number = {3},
pages = {327-336},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Fixed points of asymptotically regular mappings},
url = {http://eudml.org/doc/31860},
volume = {43},
year = {1993},
}
TY - JOUR
AU - Górnicki, Jarosław
TI - Fixed points of asymptotically regular mappings
JO - Mathematica Slovaca
PY - 1993
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 43
IS - 3
SP - 327
EP - 336
LA - eng
KW - fixed point theorems of asymptotically regular mappings in Lebesgue spaces; Hardy spaces; Sobolev spaces
UR - http://eudml.org/doc/31860
ER -
References
top- BROWDER F. E., PETRYSHYN V. W., The solution by iteration of nonlinear functional equations in Banach spaces, Bull. Amer. Math. Soc. 72 (1966), 571-576. (1966) Zbl0138.08202MR0190745
- BYNUM W. L., Normal structure coefficients for Banach spaces, Pacific J. Math. 86 (1980), 427-436. (1980) Zbl0442.46018MR0590555
- CASINI E., MALUTA E., Fixed points of uniformly Lipschitzian mappings in spaces with uniformly normal structure, Nonlinear Anal. 9 (1985), 103-108. (1985) Zbl0526.47034MR0776365
- 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. (1972) MR0361946
- GOEBEL K., KIRK W. A., Topics in Metric Fixed Point Theory, Cambridge Stud. Adv. Math. 28, Cambridge University Press, London, 1990. (1990) Zbl0708.47031MR1074005
- GÓRNICKI J., Fixed point theorems for asymptotically regular mappings in Lp spaces, Nonlinear Anal. 17 (1991), 153-159. (1991) MR1118074
- 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. (1989) Zbl0721.47040MR1086619
- LIM T. C., On some Lp inequalities in best approximation theory, J. Math. Anal. Appl. 154 (1991), 523-528. (1991) MR1088648
- 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. (1991)
- LIN P. K., A uniformly asymptotically regular mapping without fixed points, Canad. Math. Bull. 30 (1987), 481-483. (1987) Zbl0645.47050MR0919440
- PICHUGOV S. A., Jung's constant of the space Lp, (Russian), Mat. Zametki 43 (1988), 604-614. (Translation: Math. Notes 43 (1988), 348-354). (1988) MR0954343
- PRUS B., SMARZEWSKI R., Strongly unique best approximations and centers in uniformly convex spaces, J. Math. Anal. Appl. 121 (1987), 10-21. (1987) Zbl0617.41046MR0869515
- PRUS S., On Bynum's fixed point theorem, Atti Sem. Mat. Fis. Univ. Modena 38 (1990), 535-545. (1990) Zbl0724.46020MR1076471
- PRUS S., Some estimates for the normal structure coefficient in Banach spaces, Rend. Circ. Mat. Palermo (2) XL (1991), 128-135. (1991) Zbl0757.46029MR1119750
- 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. (1986) MR0835591
- SMARZEWSKI R., Strongly unique best approximation in Banach spaces II, J. Approx. Theory 51 (1987), 202-217. (1987) Zbl0657.41022MR0913618
- SMARZEWSKI R., Classical and Extended Strong Unicity of Approximation in Banach Spaces, (Polish), Mariae Curie-Sklodowska University, Lublin, 1986. (1986)
- SMARZEWSKI R., On the inequality of Bynum and Drew, J. Math. Anal. Appl. 150 (1990), 146-150. (1990) MR1059576
- XU H. K., Inequalities in Banach spaces with applications, Nonlinear Anal. 16 (1991), 1127-1138. (1991) Zbl0757.46033MR1111623
- ZALINESCU C., On uniformly convex function, J. Math. Anal. Appl. 95 (1983), 344-374. (1983) MR0716088
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