Journal of Optimization Theory and Applications

, Volume 13, Issue 2, pp 139–151 | Cite as

Fixed point of polynomial type nonlinear operators

  • J. Orava
  • A. Halme
Contributed Papers


A concept of generalized polynomial operators is considered, and a fixed-point problem with these operators is posed. The existence of a fixed point, with a minimum norm property, is stated and a power series representation is obtained. Problems of this kind appear, for instance, in some two-point boundary-value problems in optimal control.

Key Words

Polynomial operators nonlinear equations fixed points contraction mapping principle successive approximation 


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Copyright information

© Plenum Publishing Corporation 1974

Authors and Affiliations

  • J. Orava
    • 1
  • A. Halme
    • 2
  1. 1.Department of Electrical EngineeringHelsinki University of TechnologyOtaniemiFinland
  2. 2.Department of Electrical EngineeringTampere University of TechnologyTampereFinland

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