Mathematische Nachrichten

Volume 101, Issue 1 pp. 199-206

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On the Maximality of the Sum of Monotone Operators

Eckehard Krauss, 

Eckehard Krauss

Akademie der Wissenschaften der DDR, Institut für Mathematik, DDR-1080 Berlin, Mommsenstraße 39

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Eckehard Krauss, 

Eckehard Krauss

Akademie der Wissenschaften der DDR, Institut für Mathematik, DDR-1080 Berlin, Mommsenstraße 39

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First published: 1981

https://doi.org/10.1002/mana.19811010117

Citations: 4

References

• 1 H. Brezis, Operateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert, North-Holland Publ. Comp. Amsterdam-London 1973.
  Google Scholar
• 2 H. Brezis, M. Crandall, A. Pazy, Perturbations of maximal monotone sets, Comm. Pure Appl. Math. 23, 123–144 (1970).
  10.1002/cpa.3160230107

  Web of Science® Google Scholar
• 3 F. E. Browder, Problémes non linéaires, Université de Montrél 1966.
  Google Scholar
• 4 F. E. Browder, Multivalued monotone nonlinear mapping and duality mappings in Banach spaces, Trans. Amer. Math. Soc. 118, 338–351 (1965).
  10.2307/1993964

  Web of Science® Google Scholar
• 5 F. E. Browder, The fixed point theory of multivalued mappings in topological vector spaces, Math. Ann. 177, 283–301 (1968).
  10.1007/BF01350721

  Web of Science® Google Scholar
• 6 P. M. Fitzpatrick, P. Hess, T. Kato, Local boundedness of monotone-type operators, Proc. Japan. Acad. 48, 275–277 (1972).
  10.3792/pja/1195519662

  Web of Science® Google Scholar
• 7 H. Gajewski, K. Gröger, K. Zacharias, Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen, Akademie-Verlag Berlin 1974.
  Google Scholar
• 8 E. Krauss, Dissertation A, Berlin 1979.
  Google Scholar
• 9 R. T. Rockafellar, Convex functions, monotone operators and variational inequalities, Proc. NATO Inst. Venice, Oderisi Gubbio 1968.
  Google Scholar
• 10 R. T. Rockafellar, On the maxamality of sums of nonlinear monotone operators, Trans. Amer. Math. Soc. 149, 75–88 (1970).
  10.2307/1995660

  Web of Science® Google Scholar
• 11 H. Schaefer, Topological vector spaces, Mac Millan Comp., New York-London 1966.
  Google Scholar
• 12 M. Sion, On general minimax theorems, Pacific J. Math. 8, 171–176 (1958).
  10.2140/pjm.1958.8.171

  Google Scholar

Citing Literature

Volume101, Issue1

1981

Pages 199-206

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