Skip to main content
Log in

On the degree theory for multivalued (S+) type mappings

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

This paper is to generalize the results of Zhang and Chen[1]. We construct a topological degree for a class of mappings of the form F=L+S where L is closed densely defined maximal monotones operator and S is a nonlinear multivalued map of class (S+) with respect to the domain of L.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Zhang Shisheng and Chen Yuqing, Degree theory for multivalued (S) mappings and fixed point theorems,Applied Mathematics and Mechanics (English Ed.),11, 5 (1990), 441–454.

    Google Scholar 

  2. F. E. Browder, Degree theory for nonlinear mappings,Proc. Sympos. Pure. Math.,45, 1 (1986), 203–226.

    MATH  MathSciNet  Google Scholar 

  3. J. Berkovits and V. Mustonen, Topological degree for perturbations of linear maximal monotones mappings and applications to a class of parabolic problems,Rc. Mat.,7, 12 (1992), 597–621.

    MathSciNet  Google Scholar 

  4. K. C. Chang,Critical Point Theory and Its Applications, Shanghai Press of Science and Technology (1986), (in Chinese).

  5. E. Zeidler,Nonlinear Functional Analysis and Its Applications, II A and II B Springer, New York (1990).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Project supported by the Foundation of State Educational Commission of China for Returned Scholars from Abroad (1995806).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhenhai, L., Shisheng, Z. On the degree theory for multivalued (S+) type mappings. Appl Math Mech 19, 1141–1149 (1998). https://doi.org/10.1007/BF02456635

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02456635

Key words

Navigation