A fixed point theorem based on the use of an auxiliary functional

Christian Fabry

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1974)

  • Volume: 56, Issue: 2, page 175-179
  • ISSN: 0392-7881

How to cite

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Fabry, Christian. "A fixed point theorem based on the use of an auxiliary functional." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 56.2 (1974): 175-179. <http://eudml.org/doc/293680>.

@article{Fabry1974,
author = {Fabry, Christian},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {2},
number = {2},
pages = {175-179},
publisher = {Accademia Nazionale dei Lincei},
title = {A fixed point theorem based on the use of an auxiliary functional},
url = {http://eudml.org/doc/293680},
volume = {56},
year = {1974},
}

TY - JOUR
AU - Fabry, Christian
TI - A fixed point theorem based on the use of an auxiliary functional
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1974/2//
PB - Accademia Nazionale dei Lincei
VL - 56
IS - 2
SP - 175
EP - 179
LA - eng
UR - http://eudml.org/doc/293680
ER -

References

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  1. KIRK, W. A., A fixed point theorem for mappings which do not increase distances, «Amer. Math. Monthly», 72, 1004-1006 (1965). Zbl0141.32402MR189009DOI10.2307/2313345
  2. KIRK, W. A., Fixed point theorems for nonexpansive mappings, «Proc. A.M.S. Symp. Pure Math.», 18, 162-168 (1970). MR271796
  3. FURI, M. and VIGNOLI, A., A remark about some fixed point theorems, «Boll. U.M.I.», 2, 197-200 (1970). Zbl0193.51403MR263064
  4. GEORGE, J. H., SEHGAL, V. M. and SMITHSON, R. F., Application of Liapunov's direct method to fixed point theorems, «Proc. A.M.S.», 28, 613-620 (1971). Zbl0212.55502MR281185DOI10.2307/2038023
  5. THOMAS, J. W., On the Liapunov type fixed point theorem, «Fund. Math.», 78, 141-143 (1973). MR339120DOI10.4064/fm-78-2-141-143

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