Publication Cover
Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 8
64
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Coincidence degree theory for mappings of class L − (S+)

&
Pages 963-970 | Received 21 Feb 2006, Accepted 20 Apr 2006, Published online: 04 Sep 2006

References

  • Aizicovici , S and Chen , YQ . 1998 . Note on the topological degree of the subdifferential of a lower semi-continuous convex function . Proceedings of the American Mathematical Society , 126 : 2905 – 2908 .
  • Berkovits , J and Mustonen , V . 1986 . On the topological degree for mappings of monotone type . Nonlinear Analysis , 10 : 1373 – 1383 .
  • Berkovits , J and Mustonen , V . 1990 . A extension of Leray–Schauder degree and applications to nonlinear wave equation . Differential and Integral Equations , 3 : 945 – 963 .
  • Berkovits , J and Mustonen , V . 1992 . Topological degree for perturbation of linear maximal monotone mappings and applications to a class of parabolic problems . Rendiconti di Matematica, Serie VII , : 597 – 621 .
  • Browder , FE . 1983 . Fixed point theory and nonlinear problems . American Mathematical Society. Bulletin , 1 : 1 – 39 .
  • Browder , FE . Degree theory for nonlinear mappings . Proceedings Symposium in Pure Mathematics . Vol. 45 , pp. 203 – 226 . American Mathematical Society .
  • Browder , FE and Nussbaum , RD . 1968 . The topological degree for non-compact nonlinear mappings in Banach spaces . American Mathematical Society. Bulletin , 74 : 671 – 676 .
  • Chen , YQ and Cho , YJ . 2004 . Nonlinear Operator Theory in Abstract Spaces and Applications , New York : Nova Science Publisher .
  • Chen , YQ and Cho , YJ . 2005 . Topological degree theory for multi-valued mappings of class (S +) L . Archives of Mathematics , 84 : 325 – 333 .
  • Feckan , M and Kollar , R . 1999 . Discontinuous wave equation and a topological degree for some classses of multi-valued mappings . Applied Mathematics , 44 : 15 – 32 .
  • Kartsatos , AG and Skrypnik , IV . 1999 . Topological degree theories for densely defined mappings involving operators of type (S +) . Advances in Differential Equations , 4 : 413 – 456 .
  • Kartsatos , AG and Skrypnik , IV . 2000 . The index of a critical point for nonlinear elliptic operators with strong coefficient growth . Journal of the Mathematical Society of Japan , 52 : 109 – 137 .
  • Kartsatos , AG and Skrypnik , IV . 2001 . The index of a critical point for densely defined operators of type (S +) L in Banach spaces . Transactions of the American Mathematical Society , 354 : 1601 – 1630 .
  • Ma , TW . 1972 . Topological degree for set-valued compact vector fields in locally convex spaces . Dissertationes Mathematicae , 92 : 1 – 43 .
  • Mawhin , J . 1979 . Topological Degree Methods in Nonlinear Boundary Value Problems , Vol. 40 , Providence, RI : Amer. Math. Soc. .
  • Petryshyn , WV . 1995 . Generalized Topological Degree and Semilinear Equations , Cambridge : Cambridge University Press .
  • Petryshyn , WV . 1971 . Antipodes theorems for A-proper mappings of the modified type (S) or (S)+ and to mappings with the Pm property . Journal of Functional Analysis , 71 : 165 – 211 .
  • Skrypnik , IV . 1973 . Nonlinear Higher Order Elliptic Equations , Kiev : Naukova Dumka .
  • Zhang , SS and Chen , YQ . 1990 . Degree theory for multivalued (S) type mappings and fixed point theorems . Applied Mathematics and Mechanics , 11 : 441 – 454 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.