Common fixed points for nonexpansive and asymptotically nonexpansive mappings
Naimpally, Somashekhar ; Singh, Kanhaya Lal ; Whitfield, J. H. M.
Commentationes Mathematicae Universitatis Carolinae, Tome 024 (1983), p. 287-300 / Harvested from Czech Digital Mathematics Library
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Publié le : 1983-01-01
Classification:  47H09,  47H10,  52H25,  54H25 
@article{106227,
     author = {Somashekhar Naimpally and Kanhaya Lal Singh and J. H. M. Whitfield},
     title = {Common fixed points for nonexpansive and asymptotically nonexpansive mappings},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {024},
     year = {1983},
     pages = {287-300},
     zbl = {0519.54031},
     mrnumber = {711266},
     language = {en},
     url = {http://dml.mathdoc.fr/item/106227}
}

Naimpally, Somashekhar; Singh, Kanhaya Lal; Whitfield, J. H. M. Common fixed points for nonexpansive and asymptotically nonexpansive mappings. Commentationes Mathematicae Universitatis Carolinae, Tome 024 (1983) pp. 287-300. http://gdmltest.u-ga.fr/item/106227/

I. A. Bahtin The existence of common flxed points for commutative sets of nonlinear operators, Functional Anal. Appl. 4 (1970), 76-77. (1970) | MR 0267431

R. Demarr Common fixed points for commuting contraction mappings, Pac. J. Math. 13 (1963), 1139-1141. (1963) | MR 0159229 | Zbl 0191.14901

K. Goebel W. A. Kirk A fixed point theorem for asymptotically nonexpansive mappings, Proc. Amer. Math. Soc. 35 (1972), 171-174. (1972) | MR 0298500

K. Goebel W. A. Kirk R. L. Thele Uniformly Lipschitzian families of transformations in Banach spaces, Canad. J. Math. 26 (1974), 1245-1256. (1974) | MR 0358453

T. Hu A common fixed point theorem for nonlinear operators in a Banach space, Tamkang J. Math. 8 (1977), 239-243. (1977) | MR 0636943

W. A. Kirk Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type, Israel J. Math. 17 (1974), 339-346. (1974) | MR 0346605 | Zbl 0286.47034

K. Kuratowskii Topology Volume I, Academic Press, New York (1966). (1966) | MR 0217751

H. V. Machado A characterisation of convex subsets of normed spaces, Kodai Math. Sem. Rep. 25 (1973), 307-320. (1973) | MR 0326359

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) | MR 2611623

W. V. Petryshyn Structure of fixed point sets of k-set contractions, Arch. Rational. Mech. Anal. 40 (1970/71), 312-328. (1970) | MR 0273480

B. N. Sadovskii Limit compact and condensing operators, Russian Math. Surveys 27 (1972), 85-156. (1972) | MR 0428132

B. N. Sadovskii A fixed point principle, Ғunctional Anal. Appl. 1 (1967), 151-153. (1967) | MR 0211302

W. Takahashi A convexity in metric space and nonexpansive mappings, I, Kodai Math. Sem. Rep. 22 (1970), 142-149. (1970) | MR 0267565 | Zbl 0268.54048

L. A. Tallman Fixed points for condensing multifunctions in metric spaces with convex structures, Kodai Math. Sem. Rep. 29 (1977), 62-70. (1977) | MR 0463985