A fixed-point theorem for single-valued mappings defined on a topological space

Ivar Massabó

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1975)

  • Volume: 58, Issue: 4, page 559-567
  • ISSN: 0392-7881

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Massabó, Ivar. "A fixed-point theorem for single-valued mappings defined on a topological space." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 58.4 (1975): 559-567. <http://eudml.org/doc/291347>.

@article{Massabó1975,
author = {Massabó, Ivar},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {4},
number = {4},
pages = {559-567},
publisher = {Accademia Nazionale dei Lincei},
title = {A fixed-point theorem for single-valued mappings defined on a topological space},
url = {http://eudml.org/doc/291347},
volume = {58},
year = {1975},
}

TY - JOUR
AU - Massabó, Ivar
TI - A fixed-point theorem for single-valued mappings defined on a topological space
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1975/4//
PB - Accademia Nazionale dei Lincei
VL - 58
IS - 4
SP - 559
EP - 567
LA - eng
UR - http://eudml.org/doc/291347
ER -

References

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  1. BANACH, S. (1922) - Sur les operations dans les ensambles abstraits at leur applications aux equations integrales, «Found. Math.», 3, 138-181. 
  2. BELLUCE, L. P. and KIRK, W. A. (1969) - Fixed point theorems for certain classes of non-expansive mappings, «Proc. Amer. Math. Soc.», 20, 141-146. Zbl0165.16801MR233341DOI10.2307/2035976
  3. BOYD, D. W. and WONG, J. S. W. (1969) - On non linear contractions (1969) - «Proc. Amer. Math. Soc.», 20, 458-464. MR239559DOI10.2307/2035677
  4. ČIRIČ, LJ. (1971) - On contraction type mappings, «Mathematica Balkanica», 1, 52-57. MR324494
  5. ČIRIČ, LJ. (1971) - Generalized contractions and fixed-point theorem, «Publications Inst. Math. Nouv. Serie», 12 (26), 19-26. MR309092
  6. EDELSTEIN, M. (1962) - On fixed and periodic points under contractive mappings, «J. London Math. Soc.», 37, 74-79. Zbl0113.16503MR133102DOI10.1112/jlms/s1-37.1.74
  7. FURI, M. and VIGNOLI, A. (1970) - A remark on some fixed-point theorems, «Boll. U.M.I.», ser. VI, 3, 197-200. Zbl0193.51403MR263064
  8. KANNAN, R. (1968) - Some results on fixed-point, I, «Bull. Calcutta Math. Soc.», 60, 71-76. Zbl0209.27104MR257837
  9. KANNAN, R. (1969) - Some results on fixed-point, II, «Amer. Math. Monthly», 76, 405-408. Zbl0179.28203MR257838DOI10.2307/2316437
  10. KIRK, W. A. (1969) - On mappings with diminishing orbital diameters, «J. London Math. Soc.», 44, 107-111. Zbl0162.54902MR233342DOI10.1112/jlms/s1-44.1.107
  11. RAKOTCH, E. (1962) - A note on contractive mappings, «Proc. Amer. Math. Soc.». 13, 459-465. Zbl0105.35202MR148046DOI10.2307/2034961
  12. REICH, S. (1971) - Kannan's fixed-point theorem, «Boll. U.M.I.», ser. IV, 4, 1-11. Zbl0219.54042MR305163
  13. SEHGAL, V. M. (1972) - On fixed and periodic points for a class of mappings, «J. London Math. Soc.», (2) 5, 571-576. Zbl0245.54044MR319176DOI10.1112/jlms/s2-5.3.571

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