On a fixed-point theorem of Cellina

Stephen Simons

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1986)

  • Volume: 80, Issue: 1-2, page 8-10
  • ISSN: 1120-6330

How to cite

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Simons, Stephen. "On a fixed-point theorem of Cellina." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 80.1-2 (1986): 8-10. <http://eudml.org/doc/287391>.

@article{Simons1986,
author = {Simons, Stephen},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {fixed point theorem of Cellina; existence theorem for linear functionals},
language = {eng},
month = {1},
number = {1-2},
pages = {8-10},
publisher = {Accademia Nazionale dei Lincei},
title = {On a fixed-point theorem of Cellina},
url = {http://eudml.org/doc/287391},
volume = {80},
year = {1986},
}

TY - JOUR
AU - Simons, Stephen
TI - On a fixed-point theorem of Cellina
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1986/1//
PB - Accademia Nazionale dei Lincei
VL - 80
IS - 1-2
SP - 8
EP - 10
LA - eng
KW - fixed point theorem of Cellina; existence theorem for linear functionals
UR - http://eudml.org/doc/287391
ER -

References

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  1. BELLENGER, J.C. - Existence of maximizable quasiconcave functions on paracompact convex spaces, «J. Math. Anal. Appl.», to appear. Zbl0649.46006MR883692DOI10.1016/0022-247X(87)90314-3
  2. CELLINA, A. (1970) - Fixed points of noncontinuous mappings, «Rend. Accad. Naz. Lincei», 49, 30-33. Zbl0216.17303MR295167
  3. FAN, K. (1984) - Some properties of convex sets related to fixed point theorems, «Math. Annal.», 266, 519-537. Zbl0515.47029MR735533DOI10.1007/BF01458545
  4. GRANAS, A. and LIU, F.-C. (1984) - Théorèmes du Minimax, «C.R. Acad. Sc. Paris», 298, 329-332. Zbl0586.49003MR745008
  5. SIMONS, S. - Two-function minimax theorems and variational inequalities for functions on compact and noncompact sets, with some comments on fixed-point theorems, «Proc. Symp. in Pure Math.», to appear. Zbl0819.49009MR843623
  6. SIMONS, S. - An existence theorem for quasiconcave functions with applications, «Journal of Nonlinear Analysis T.M.A.», to appear. Zbl0616.47045MR857745DOI10.1016/0362-546X(86)90094-5

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