On the minimal displacement of points under mappings
Ban, A. I. ; Gal, S. G.
Archivum Mathematicum, Tome 038 (2002), p. 273-284 / Harvested from Czech Digital Mathematics Library

New contributions concerning the minimal displacement of points under mappings (defect of fixed point) are obtained.

Publié le : 2002-01-01
Classification:  47H10,  49J40,  49J50
@article{107841,
     author = {A. I. Ban and S. G. Gal},
     title = {On the minimal displacement of points under mappings},
     journal = {Archivum Mathematicum},
     volume = {038},
     year = {2002},
     pages = {273-284},
     zbl = {1068.47069},
     mrnumber = {1942657},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107841}
}
Ban, A. I.; Gal, S. G. On the minimal displacement of points under mappings. Archivum Mathematicum, Tome 038 (2002) pp. 273-284. http://gdmltest.u-ga.fr/item/107841/

Barbu V. Mathematical methods in optimization of differential systems, (in Romanian), Ed. Academiei, Bucharest, 1989. (1989) | MR 1031990 | Zbl 0688.49025

Ekeland I. On the variational principle, J. Math. Anal. Appl. 47 (1974), 324–353. (1974) | MR 0346619 | Zbl 0286.49015

Ekeland I. Nonconvex minimization problems, Bull. Amer. Math. Soc. 1 (1979), 443–474. (1979) | MR 0526967 | Zbl 0441.49011

Engl H. W. Weak convergence of asymptotically regular sequences for nonexpansive mappings and connections with certain Chebyshef-centers, Nonlinear Anal. 1(5) (1977), 495–501. (1977) | MR 0636939 | Zbl 0409.47040

Ky Fan Extensions of two fixed point theorems of F.E. Browder, Math. Z. 112 (1969), 234–240. (1969) | MR 0251603 | Zbl 0185.39503

Franchetti C. Lipschitz maps and the geometry of the unit ball in normed spaces, Arch. Math. 46 (1986), 76–84. (1986) | MR 0829819 | Zbl 0564.46014

Furi M.; Martelli M. On the minimal displacement of points under alpha-Lipschitz maps in normed spaces, Bull. Un. Mat. Ital. 9 (1974), 791–799. (1974) | MR 0370282 | Zbl 0304.47050

Goebel K. On the minimal displacement of points under lipschitzian mappings, Pacific J. Math. 48 (1973), 151–163. (1973) | MR 0328708 | Zbl 0265.47046

Goebel K.; Kirk W. A. Topics in Metric Fixed Point Theory, Cambridge University Press, Cambridge, 1990. (1990) | MR 1074005 | Zbl 0708.47031

Guay M. D.; Singh K. L. Fixed points of asymptotically regular mappings, Math. Vesnik 35 (1983), 101–106. (1983) | MR 0741588 | Zbl 0541.54056

Kelley J. L. General Topology, Van Nostrand, New York, 1964. (1964) | MR 0070144

Rădulescu S.; Rădulescu M. Theorems and Problems in Analysis, (in Romanian), Ed. Didactică şi Pedagogică, Bucharest, 1982. (1982)

Reich S. Minimal displacement of points under weakly inward pseudo-lipschitzian mappings, I, Atti. Acad. Naz. Linzei Rend. U. Sci. Fis. Mat. Natur. 59 (1975), 40–44. (1975) | MR 0451058

Reich S. Minimal displacement of points under weakly inward pseudo-lipschitzian mappings, II, Atti. Acad. Naz. Linzei Rend. U. Sci. Fis. Mat. Natur. 60 (1976), 95–96. (1976) | MR 0487647 | Zbl 0362.47024

Rhoades B. E.; Sessa S.; Khan M. S.; Swaleh M. On fixed points of asymptotically regular mappings, J. Austral. Math. Soc. (Series A) 43 (1987), 328–346. (1987) | MR 0904393 | Zbl 0659.54042

Rus I. A. Principles and Applications of Fixed Point Theory, (in Romanian), Ed. Dacia, Cluj-Napoca, 1979. (1979)