Compactness gauges and fixed points

Francesco S. De Blasi

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

  • Volume: 57, Issue: 3-4, page 170-176
  • ISSN: 0392-7881

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De Blasi, Francesco S.. "Compactness gauges and fixed points." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 57.3-4 (1974): 170-176. <http://eudml.org/doc/293608>.

@article{DeBlasi1974,
author = {De Blasi, Francesco S.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {9},
number = {3-4},
pages = {170-176},
publisher = {Accademia Nazionale dei Lincei},
title = {Compactness gauges and fixed points},
url = {http://eudml.org/doc/293608},
volume = {57},
year = {1974},
}

TY - JOUR
AU - De Blasi, Francesco S.
TI - Compactness gauges and fixed points
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1974/9//
PB - Accademia Nazionale dei Lincei
VL - 57
IS - 3-4
SP - 170
EP - 176
LA - eng
UR - http://eudml.org/doc/293608
ER -

References

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  1. BROWDER, F. E. (1968) - On the convergence of successive approximations for non-linear functional equations, «Nederl. Akad. Wetensch. Proc.», Ser. A, 30, 27-35. MR230180
  2. DARBO, G. (1955) - Punti uniti in trasformazioni a codominio non compatto, «Rend. Sem. Mat. Univ. Padova», 24, 84-92. Zbl0064.35704MR70164
  3. DUNFORD, N. and SCHWARTZ, J. T. (1958) - Linear operators, Part I, Interscience, New York. MR188745
  4. EDELSTEIN, M. (1969) - On fixed and periodic points under contractive mappings, «J. London Math. Soc.», 37, 74-79. Zbl0113.16503MR133102DOI10.1112/jlms/s1-37.1.74
  5. FURI, M. and VIGNOLI, A. (1969) - A fixed point theorem in complete metric spaces, «Boll. Un. Mat. Ital.», 4, 505-509. Zbl0183.51404MR256378
  6. HALE, J. K. and CRUZ, M. A. (1970) - Existence, uniqueness and continuous dependence in equations of neutral type, «Ann. Mat. Pura Appl.», 85, 63-81. Zbl0194.41002MR262633DOI10.1007/BF02413530
  7. JONES, G. S. (1967) - Hereditary structure in differential equations, «Math. Systems Theory», I, 263-278. MR226149DOI10.1007/BF01703824
  8. JONES, G. S. (1973) - A functional approach to fixed point analysis of noncompact operators, «Math. Systems Theory», 6, 375-382. Zbl0265.54047MR365248DOI10.1007/BF01843494
  9. JONES, G. S. (1972) - Stability of compactness for functional differential equations. Ordinary differential equations, Edited by L. Weiss, Academic Press, New York, 433-457. MR440163
  10. JONES, G. S. (1972) - Basic frequency periodic motions in noncompact dynamical processes. Delay and functional differential equations and their applications, Edited by K. Schmitt, Academic Press, New York, 185-196. MR390386
  11. KRASNOSEL'SKIĬ, M. A. and STECENKO, V. JA. (1969) - About the theory of equations with concave operators, «Sibirski Mat. Z.», 10, 565-572 (in Russian). MR251600
  12. KURATOWSKI, K. (1966) - Topology, Academic Press, London. Zbl0158.40901
  13. MARTELLI, M. (1970) - A lemma on maps of a compact topological space and application to fixed point theory, «Atti Acc. Naz. Lincei, Rend. Cl. Sc. Fis. Mat. Nat.», 49, 128-129. Zbl0214.21601MR295324
  14. SADOVSKIĬ, B. N. (1967) - A fixed point principle, «Funkcional. Anal. i Prilozen», 1, 74-76 (in Russian). MR211302

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