Common fixed points for nonexpansive and asymptotically nonexpansive mappings
Somashekhar Naimpally; Kanhaya Lal Singh; J. H. M. Whitfield
Commentationes Mathematicae Universitatis Carolinae (1983)
- Volume: 024, Issue: 2, page 287-300
- ISSN: 0010-2628
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topNaimpally, Somashekhar, Singh, Kanhaya Lal, and Whitfield, J. H. M.. "Common fixed points for nonexpansive and asymptotically nonexpansive mappings." Commentationes Mathematicae Universitatis Carolinae 024.2 (1983): 287-300. <http://eudml.org/doc/17250>.
@article{Naimpally1983,
author = {Naimpally, Somashekhar, Singh, Kanhaya Lal, Whitfield, J. H. M.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {nonexpansive and asymptotically nonexpansive mappings in convex metric spaces},
language = {eng},
number = {2},
pages = {287-300},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Common fixed points for nonexpansive and asymptotically nonexpansive mappings},
url = {http://eudml.org/doc/17250},
volume = {024},
year = {1983},
}
TY - JOUR
AU - Naimpally, Somashekhar
AU - Singh, Kanhaya Lal
AU - Whitfield, J. H. M.
TI - Common fixed points for nonexpansive and asymptotically nonexpansive mappings
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1983
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 024
IS - 2
SP - 287
EP - 300
LA - eng
KW - nonexpansive and asymptotically nonexpansive mappings in convex metric spaces
UR - http://eudml.org/doc/17250
ER -
References
top- I. A. Bahtin, The existence of common flxed points for commutative sets of nonlinear operators, Functional Anal. Appl. 4 (1970), 76-77. (1970) MR0267431
- R. DeMarr, Common fixed points for commuting contraction mappings, Pac. J. Math. 13 (1963), 1139-1141. (1963) Zbl0191.14901MR0159229
- K. Goebel W. A. Kirk, A fixed point theorem for asymptotically nonexpansive mappings, Proc. Amer. Math. Soc. 35 (1972), 171-174. (1972) MR0298500
- K. Goebel W. A. Kirk R. L. Thele, Uniformly Lipschitzian families of transformations in Banach spaces, Canad. J. Math. 26 (1974), 1245-1256. (1974) MR0358453
- T. Hu, A common fixed point theorem for nonlinear operators in a Banach space, Tamkang J. Math. 8 (1977), 239-243. (1977) MR0636943
- W. A. Kirk, Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type, Israel J. Math. 17 (1974), 339-346. (1974) Zbl0286.47034MR0346605
- K. Kuratowskii, Topology Volume I, Academic Press, New York (1966). (1966) MR0217751
- H. V. Machado, A characterisation of convex subsets of normed spaces, Kodai Math. Sem. Rep. 25 (1973), 307-320. (1973) MR0326359
- S. A. Naimpally K. L. Singh, Fixed and common fixed points in convex metric space, preprint.
- R. D. Nussbaum, The fixed point index and fixed point theorems for k-set contractions, Ph.D. Dissertation, University of Chicago (1969). (1969) MR2611623
- W. V. Petryshyn, Structure of fixed point sets of k-set contractions, Arch. Rational. Mech. Anal. 40 (1970/71), 312-328. (1970) MR0273480
- B. N. Sadovskii, Limit compact and condensing operators, Russian Math. Surveys 27 (1972), 85-156. (1972) MR0428132
- B. N. Sadovskii, A fixed point principle, Ғunctional Anal. Appl. 1 (1967), 151-153. (1967) MR0211302
- W. Takahashi, A convexity in metric space and nonexpansive mappings, I, Kodai Math. Sem. Rep. 22 (1970), 142-149. (1970) Zbl0268.54048MR0267565
- L. A. Tallman, Fixed points for condensing multifunctions in metric spaces with convex structures, Kodai Math. Sem. Rep. 29 (1977), 62-70. (1977) MR0463985
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