Sizes of sets and some fixed point theorems

Srinivasa Swaminathan; Anthony C. Thompson

Commentationes Mathematicae Universitatis Carolinae (1971)

  • Volume: 012, Issue: 3, page 537-549
  • ISSN: 0010-2628

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Swaminathan, Srinivasa, and Thompson, Anthony C.. "Sizes of sets and some fixed point theorems." Commentationes Mathematicae Universitatis Carolinae 012.3 (1971): 537-549. <http://eudml.org/doc/16446>.

@article{Swaminathan1971,
author = {Swaminathan, Srinivasa, Thompson, Anthony C.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {3},
pages = {537-549},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Sizes of sets and some fixed point theorems},
url = {http://eudml.org/doc/16446},
volume = {012},
year = {1971},
}

TY - JOUR
AU - Swaminathan, Srinivasa
AU - Thompson, Anthony C.
TI - Sizes of sets and some fixed point theorems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1971
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 012
IS - 3
SP - 537
EP - 549
LA - eng
UR - http://eudml.org/doc/16446
ER -

References

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  2. M. S. BRODSKII, D. P. MILMAN, On the center of a convex set, Dokl. Akad. Nauk SSSR (N.S.) 59 (1948), 837-840. (1948) MR0024073
  3. F. E. BROWDER, Nonexpansive nonlinear operators in a Banach space, Proc. Nat. Acad. Sci. U.S.A. 54 (1965), 1041-1044. (1965) Zbl0128.35801MR0187120
  4. J. DANEŠ, Generalized concentrative mappings and their fixed points, Comment. Math. Univ. Carolinae 11 (1970), 115-136. (1970) MR0263063
  5. G. DARBO, Punti uniti trasformazioni a codomino noncompatto, Rend. Sem. Mat. Univ. Padova 24 (1955), 84-92. (1955) MR0070164
  6. D. GÖHDE, Zum Prinzip der kontraktiven Abbildung, Math. Nachrichten 30 (1965), 251-258. (1965) MR0190718
  7. L. S. GOLDŠTEIN I. C. GOHBERG, and A. S. MARKUS, On some properties of linear boonded operators in connection with their q-norms, (Russian). Uč. Zap. Kišinev. un-ta 29 (1957), 29-36. (1957) 
  8. L. S. GOLDŠTEIN, A. S. MARKUS, On a measure of non-compactness of bounded sets and linear operators, Issled. po Algebre i Matem. Analizu, Kišinev (Russian), 1965. (1965) 
  9. J. L. KELLEY, General Topology, Van Nostrand, 1955. (1955) Zbl0066.16604MR0070144
  10. W. A. KIRK, A fixed point theorem for mappings which do not increase distance, Amer. Math. Monthly 72 (1965), 1004-1006. (1965) MR0189009
  11. K. KURATOWSKI, Sur les espaces complets, Fundamenta Mathematicae 15 (1930), 300-309. (1930) 
  12. B. N. SADOVSKII, A fixed point principle, Functional Anal. and Appl. l (1967), 151-153. (1967) MR0211302

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