Minimal displacement of points under weakly inward pseudo-lipschitzian mappings

Simeon Reich

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

  • Volume: 59, Issue: 1-2, page 40-44
  • ISSN: 0392-7881

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Reich, Simeon. "Minimal displacement of points under weakly inward pseudo-lipschitzian mappings." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 59.1-2 (1975): 40-44. <http://eudml.org/doc/290827>.

@article{Reich1975,
author = {Reich, Simeon},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {7},
number = {1-2},
pages = {40-44},
publisher = {Accademia Nazionale dei Lincei},
title = {Minimal displacement of points under weakly inward pseudo-lipschitzian mappings},
url = {http://eudml.org/doc/290827},
volume = {59},
year = {1975},
}

TY - JOUR
AU - Reich, Simeon
TI - Minimal displacement of points under weakly inward pseudo-lipschitzian mappings
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1975/7//
PB - Accademia Nazionale dei Lincei
VL - 59
IS - 1-2
SP - 40
EP - 44
LA - eng
UR - http://eudml.org/doc/290827
ER -

References

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  1. BONY, J.-M. (1969) - Principe du maximum, inégalité de Harnack et unicité d'un problème de Cauchy pour les opérateurs elliptiques dégénérés, «Ann. Inst. Fourier Grenoble», 19, 277-304. Zbl0176.09703MR262881
  2. BROWDER, F. E. (1967) - Nonlinear mappings of nonexpansive and accretive type in Banach spaces, «Bull. Amer. Math. Soc.», 73, 875-882. Zbl0176.45302MR232255DOI10.1090/S0002-9904-1967-11823-8
  3. CARISTI, J. - Fixed point theorems for mappings satisfying inwardness conditions, to appear. MR394329DOI10.2307/1999724
  4. CRANDALL, M. G. (1972) - A generalization of Peano's existence theorem and flow invariance, «Proc. Amer. Math. Soc.», 36, 151-155. Zbl0271.34084MR306586DOI10.2307/2039051
  5. DEIMLING, K. (1974) - Zeros of accretive operators, «Manuscripta Math.», 13, 365-374. Zbl0288.47047MR350538DOI10.1007/BF01171148
  6. GOEBEL, K. (1973) - On the minimal displacement of points under lipschitzian mappings, «Pacific J. Math.», 45, 151-163. Zbl0265.47046MR328708
  7. HALPERN, B. R. and BERGMAN, G. M. (1968) - A fixed point theorem for inward and outward maps, «Trans. Amer. Math. Soc.», 130, 353-358, Zbl0153.45602MR221345DOI10.2307/1994976
  8. HOLMES, R. B. (1972) - A Course on Optimization and Best Approximation, «Lecture Notes in Mathematics», 257, Springer, Berlin. Zbl0235.41016MR420367
  9. KATO, T. (1967) - Nonlinear semigroups and evolution equations, «J. Math. Soc. Japan», 19, 508-520. Zbl0163.38303MR226230DOI10.2969/jmsj/01940508
  10. MARTIN, R. H., Jr. (1970) - The logarithmic derivative and equations of evolution in a Banach space, «J. Math. Soc. Japan», 22, 411-429. Zbl0199.47003MR298467DOI10.2969/jmsj/02230411
  11. MARTIN, R. H., Jr. (1973) - Differential equations on closed subsets of a Banach space, «Trans. Amer. Math. Soc.», 179, 399-414. MR318991DOI10.2307/1996511
  12. REICH, S. (1973) - On the fixed point theorems of Banach and Schauder, doctoral dissertation, The Technion—Israel Institute of Technology, Haifa. (In Hebrew, with an English summary. An abstract appeared in «Dissertation Abstracts International», 34 (11), 1974). 
  13. [13J REICH, S. - On fixed point theorems obtained from existence theorems for differential equations, «J. Math. Anal. Appl.», to appear. MR402554DOI10.1016/0022-247X(76)90232-8

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